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Finding the Fourth Proportional to 507.24, 702.18 and 463.50

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Solution

The fourth proportional to 507.24, 702.18 and 463.50 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 702.18 = 463.50 : x
  2. Step 2: Convert to fraction form
    507.24/702.18 = 463.50/x
  3. Step 3: Cross multiply
    507.24x = 702.18 × 463.50
  4. Step 4: Simplify right side
    507.24x = 325,460.43
  5. Step 5: Solve for x
    x = 325,460.43/507.24
  6. Step 6: Final answer
    x = 641.63

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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.