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Finding the Fourth Proportional to 530.73, 795.29 and 414.90

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Solution

The fourth proportional to 530.73, 795.29 and 414.90 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.73 : 795.29 = 414.90 : x
  2. Step 2: Convert to fraction form
    530.73/795.29 = 414.90/x
  3. Step 3: Cross multiply
    530.73x = 795.29 × 414.90
  4. Step 4: Simplify right side
    530.73x = 329,963.75
  5. Step 5: Solve for x
    x = 329,963.75/530.73
  6. Step 6: Final answer
    x = 621.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.