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Finding the Fourth Proportional to 510.91, 705.11 and 314.53

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Solution

The fourth proportional to 510.91, 705.11 and 314.53 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.91 : 705.11 = 314.53 : x
  2. Step 2: Convert to fraction form
    510.91/705.11 = 314.53/x
  3. Step 3: Cross multiply
    510.91x = 705.11 × 314.53
  4. Step 4: Simplify right side
    510.91x = 221,774.91
  5. Step 5: Solve for x
    x = 221,774.91/510.91
  6. Step 6: Final answer
    x = 434.08

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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.