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Finding the Fourth Proportional to 417.90, 624.18 and 360.30

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Solution

The fourth proportional to 417.90, 624.18 and 360.30 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 624.18 = 360.30 : x
  2. Step 2: Convert to fraction form
    417.90/624.18 = 360.30/x
  3. Step 3: Cross multiply
    417.90x = 624.18 × 360.30
  4. Step 4: Simplify right side
    417.90x = 224,892.05
  5. Step 5: Solve for x
    x = 224,892.05/417.90
  6. Step 6: Final answer
    x = 538.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.