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Finding the Fourth Proportional to 510.90, 700.14 and 461.70

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Solution

The fourth proportional to 510.90, 700.14 and 461.70 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.90 : 700.14 = 461.70 : x
  2. Step 2: Convert to fraction form
    510.90/700.14 = 461.70/x
  3. Step 3: Cross multiply
    510.90x = 700.14 × 461.70
  4. Step 4: Simplify right side
    510.90x = 323,250.28
  5. Step 5: Solve for x
    x = 323,250.28/510.90
  6. Step 6: Final answer
    x = 632.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.