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Finding the Fourth Proportional to 357.60, 534.12 and 285.24

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Solution

The fourth proportional to 357.60, 534.12 and 285.24 is: 426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.60 : 534.12 = 285.24 : x
  2. Step 2: Convert to fraction form
    357.60/534.12 = 285.24/x
  3. Step 3: Cross multiply
    357.60x = 534.12 × 285.24
  4. Step 4: Simplify right side
    357.60x = 152,352.39
  5. Step 5: Solve for x
    x = 152,352.39/357.60
  6. Step 6: Final answer
    x = 426.04

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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.