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Finding the Fourth Proportional to 704.32, 972.44 and 456.24

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Solution

The fourth proportional to 704.32, 972.44 and 456.24 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 972.44 = 456.24 : x
  2. Step 2: Convert to fraction form
    704.32/972.44 = 456.24/x
  3. Step 3: Cross multiply
    704.32x = 972.44 × 456.24
  4. Step 4: Simplify right side
    704.32x = 443,666.03
  5. Step 5: Solve for x
    x = 443,666.03/704.32
  6. Step 6: Final answer
    x = 629.92

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.