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Finding the Fourth Proportional to 510.92, 705.08 and 314.52

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Solution

The fourth proportional to 510.92, 705.08 and 314.52 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.92 : 705.08 = 314.52 : x
  2. Step 2: Convert to fraction form
    510.92/705.08 = 314.52/x
  3. Step 3: Cross multiply
    510.92x = 705.08 × 314.52
  4. Step 4: Simplify right side
    510.92x = 221,761.76
  5. Step 5: Solve for x
    x = 221,761.76/510.92
  6. Step 6: Final answer
    x = 434.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.