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Finding the Fourth Proportional to 545.17, 752.35 and 312.34

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Solution

The fourth proportional to 545.17, 752.35 and 312.34 is: 431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.17 : 752.35 = 312.34 : x
  2. Step 2: Convert to fraction form
    545.17/752.35 = 312.34/x
  3. Step 3: Cross multiply
    545.17x = 752.35 × 312.34
  4. Step 4: Simplify right side
    545.17x = 234,984.46
  5. Step 5: Solve for x
    x = 234,984.46/545.17
  6. Step 6: Final answer
    x = 431.03

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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.