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Finding the Fourth Proportional to 663.60, 915.22 and 507.12

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Solution

The fourth proportional to 663.60, 915.22 and 507.12 is: 699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.60 : 915.22 = 507.12 : x
  2. Step 2: Convert to fraction form
    663.60/915.22 = 507.12/x
  3. Step 3: Cross multiply
    663.60x = 915.22 × 507.12
  4. Step 4: Simplify right side
    663.60x = 464,125.10
  5. Step 5: Solve for x
    x = 464,125.10/663.60
  6. Step 6: Final answer
    x = 699.40

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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.