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Finding the Fourth Proportional to 510.99, 705.42 and 314.61

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Solution

The fourth proportional to 510.99, 705.42 and 314.61 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.99 : 705.42 = 314.61 : x
  2. Step 2: Convert to fraction form
    510.99/705.42 = 314.61/x
  3. Step 3: Cross multiply
    510.99x = 705.42 × 314.61
  4. Step 4: Simplify right side
    510.99x = 221,932.19
  5. Step 5: Solve for x
    x = 221,932.19/510.99
  6. Step 6: Final answer
    x = 434.32

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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.