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Finding the Fourth Proportional to 437.59, 657.30 and 413.90

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Solution

The fourth proportional to 437.59, 657.30 and 413.90 is: 621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.59 : 657.30 = 413.90 : x
  2. Step 2: Convert to fraction form
    437.59/657.30 = 413.90/x
  3. Step 3: Cross multiply
    437.59x = 657.30 × 413.90
  4. Step 4: Simplify right side
    437.59x = 272,056.47
  5. Step 5: Solve for x
    x = 272,056.47/437.59
  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.