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Finding the Fourth Proportional to 545.10, 751.02 and 456.24

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Solution

The fourth proportional to 545.10, 751.02 and 456.24 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.10 : 751.02 = 456.24 : x
  2. Step 2: Convert to fraction form
    545.10/751.02 = 456.24/x
  3. Step 3: Cross multiply
    545.10x = 751.02 × 456.24
  4. Step 4: Simplify right side
    545.10x = 342,645.36
  5. Step 5: Solve for x
    x = 342,645.36/545.10
  6. Step 6: Final answer
    x = 628.59

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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.