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Finding the Fourth Proportional to 545.24, 752.46 and 312.40

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Solution

The fourth proportional to 545.24, 752.46 and 312.40 is: 431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.24 : 752.46 = 312.40 : x
  2. Step 2: Convert to fraction form
    545.24/752.46 = 312.40/x
  3. Step 3: Cross multiply
    545.24x = 752.46 × 312.40
  4. Step 4: Simplify right side
    545.24x = 235,068.50
  5. Step 5: Solve for x
    x = 235,068.50/545.24
  6. Step 6: Final answer
    x = 431.13

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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.