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Finding the Fourth Proportional to 510.90, 705.44 and 458.35

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Solution

The fourth proportional to 510.90, 705.44 and 458.35 is: 632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 705.44 = 458.35 : x
  2. Step 2: Convert to fraction form
    510.90/705.44 = 458.35/x
  3. Step 3: Cross multiply
    510.90x = 705.44 × 458.35
  4. Step 4: Simplify right side
    510.90x = 323,338.42
  5. Step 5: Solve for x
    x = 323,338.42/510.90
  6. Step 6: Final answer
    x = 632.88

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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.