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Finding the Fourth Proportional to 530.61, 730.61 and 460.55

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Solution

The fourth proportional to 530.61, 730.61 and 460.55 is: 634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 730.61 = 460.55 : x
  2. Step 2: Convert to fraction form
    530.61/730.61 = 460.55/x
  3. Step 3: Cross multiply
    530.61x = 730.61 × 460.55
  4. Step 4: Simplify right side
    530.61x = 336,478.78
  5. Step 5: Solve for x
    x = 336,478.78/530.61
  6. Step 6: Final answer
    x = 634.14

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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.