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Finding the Fourth Proportional to 456.48, 631.35 and 407.30

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Solution

The fourth proportional to 456.48, 631.35 and 407.30 is: 563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 631.35 = 407.30 : x
  2. Step 2: Convert to fraction form
    456.48/631.35 = 407.30/x
  3. Step 3: Cross multiply
    456.48x = 631.35 × 407.30
  4. Step 4: Simplify right side
    456.48x = 257,145.70
  5. Step 5: Solve for x
    x = 257,145.70/456.48
  6. Step 6: Final answer
    x = 563.32

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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.