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Finding the Fourth Proportional to 545.46, 753.47 and 435.70

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Solution

The fourth proportional to 545.46, 753.47 and 435.70 is: 601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 753.47 = 435.70 : x
  2. Step 2: Convert to fraction form
    545.46/753.47 = 435.70/x
  3. Step 3: Cross multiply
    545.46x = 753.47 × 435.70
  4. Step 4: Simplify right side
    545.46x = 328,286.88
  5. Step 5: Solve for x
    x = 328,286.88/545.46
  6. Step 6: Final answer
    x = 601.85

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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.