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Finding the Fourth Proportional to 545.70, 750.66 and 457.14

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Solution

The fourth proportional to 545.70, 750.66 and 457.14 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 750.66 = 457.14 : x
  2. Step 2: Convert to fraction form
    545.70/750.66 = 457.14/x
  3. Step 3: Cross multiply
    545.70x = 750.66 × 457.14
  4. Step 4: Simplify right side
    545.70x = 343,156.71
  5. Step 5: Solve for x
    x = 343,156.71/545.70
  6. Step 6: Final answer
    x = 628.84

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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.