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Finding the Fourth Proportional to 508.92, 761.23 and 471.99

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Solution

The fourth proportional to 508.92, 761.23 and 471.99 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 761.23 = 471.99 : x
  2. Step 2: Convert to fraction form
    508.92/761.23 = 471.99/x
  3. Step 3: Cross multiply
    508.92x = 761.23 × 471.99
  4. Step 4: Simplify right side
    508.92x = 359,292.95
  5. Step 5: Solve for x
    x = 359,292.95/508.92
  6. Step 6: Final answer
    x = 705.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.