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Finding the Fourth Proportional to 545.39, 751.84 and 414.17

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Solution

The fourth proportional to 545.39, 751.84 and 414.17 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.39 : 751.84 = 414.17 : x
  2. Step 2: Convert to fraction form
    545.39/751.84 = 414.17/x
  3. Step 3: Cross multiply
    545.39x = 751.84 × 414.17
  4. Step 4: Simplify right side
    545.39x = 311,384.78
  5. Step 5: Solve for x
    x = 311,384.78/545.39
  6. Step 6: Final answer
    x = 570.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.