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Finding the Fourth Proportional to 655.32, 904.56 and 456.72

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Solution

The fourth proportional to 655.32, 904.56 and 456.72 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.32 : 904.56 = 456.72 : x
  2. Step 2: Convert to fraction form
    655.32/904.56 = 456.72/x
  3. Step 3: Cross multiply
    655.32x = 904.56 × 456.72
  4. Step 4: Simplify right side
    655.32x = 413,130.64
  5. Step 5: Solve for x
    x = 413,130.64/655.32
  6. Step 6: Final answer
    x = 630.43

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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.