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Finding the Fourth Proportional to 545.70, 815.09 and 468.89

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Solution

The fourth proportional to 545.70, 815.09 and 468.89 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.70 : 815.09 = 468.89 : x
  2. Step 2: Convert to fraction form
    545.70/815.09 = 468.89/x
  3. Step 3: Cross multiply
    545.70x = 815.09 × 468.89
  4. Step 4: Simplify right side
    545.70x = 382,181.13
  5. Step 5: Solve for x
    x = 382,181.13/545.70
  6. Step 6: Final answer
    x = 700.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.