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Finding the Fourth Proportional to 545.57, 817.10 and 437.45

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Solution

The fourth proportional to 545.57, 817.10 and 437.45 is: 655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.57 : 817.10 = 437.45 : x
  2. Step 2: Convert to fraction form
    545.57/817.10 = 437.45/x
  3. Step 3: Cross multiply
    545.57x = 817.10 × 437.45
  4. Step 4: Simplify right side
    545.57x = 357,438.21
  5. Step 5: Solve for x
    x = 357,438.21/545.57
  6. Step 6: Final answer
    x = 655.16

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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.