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Finding the Fourth Proportional to 545.02, 752.14 and 312.15

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Solution

The fourth proportional to 545.02, 752.14 and 312.15 is: 430.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.02 : 752.14 = 312.15 : x
  2. Step 2: Convert to fraction form
    545.02/752.14 = 312.15/x
  3. Step 3: Cross multiply
    545.02x = 752.14 × 312.15
  4. Step 4: Simplify right side
    545.02x = 234,776.74
  5. Step 5: Solve for x
    x = 234,776.74/545.02
  6. Step 6: Final answer
    x = 430.77

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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.