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Finding the Fourth Proportional to 507.29, 699.70 and 465.98

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Solution

The fourth proportional to 507.29, 699.70 and 465.98 is: 642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.29 : 699.70 = 465.98 : x
  2. Step 2: Convert to fraction form
    507.29/699.70 = 465.98/x
  3. Step 3: Cross multiply
    507.29x = 699.70 × 465.98
  4. Step 4: Simplify right side
    507.29x = 326,046.21
  5. Step 5: Solve for x
    x = 326,046.21/507.29
  6. Step 6: Final answer
    x = 642.72

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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.