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Finding the Fourth Proportional to 510.80, 705.16 and 314.64

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Solution

The fourth proportional to 510.80, 705.16 and 314.64 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.80 : 705.16 = 314.64 : x
  2. Step 2: Convert to fraction form
    510.80/705.16 = 314.64/x
  3. Step 3: Cross multiply
    510.80x = 705.16 × 314.64
  4. Step 4: Simplify right side
    510.80x = 221,871.54
  5. Step 5: Solve for x
    x = 221,871.54/510.80
  6. Step 6: Final answer
    x = 434.36

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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.