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Finding the Fourth Proportional to 545.32, 820.89 and 469.96

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Solution

The fourth proportional to 545.32, 820.89 and 469.96 is: 707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.32 : 820.89 = 469.96 : x
  2. Step 2: Convert to fraction form
    545.32/820.89 = 469.96/x
  3. Step 3: Cross multiply
    545.32x = 820.89 × 469.96
  4. Step 4: Simplify right side
    545.32x = 385,785.46
  5. Step 5: Solve for x
    x = 385,785.46/545.32
  6. Step 6: Final answer
    x = 707.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.