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Finding the Fourth Proportional to 545.34, 753.12 and 470.50

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Solution

The fourth proportional to 545.34, 753.12 and 470.50 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 753.12 = 470.50 : x
  2. Step 2: Convert to fraction form
    545.34/753.12 = 470.50/x
  3. Step 3: Cross multiply
    545.34x = 753.12 × 470.50
  4. Step 4: Simplify right side
    545.34x = 354,342.96
  5. Step 5: Solve for x
    x = 354,342.96/545.34
  6. Step 6: Final answer
    x = 649.77

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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.