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Finding the Fourth Proportional to 545.07, 816.08 and 502.02

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Solution

The fourth proportional to 545.07, 816.08 and 502.02 is: 751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.07 : 816.08 = 502.02 : x
  2. Step 2: Convert to fraction form
    545.07/816.08 = 502.02/x
  3. Step 3: Cross multiply
    545.07x = 816.08 × 502.02
  4. Step 4: Simplify right side
    545.07x = 409,685.97
  5. Step 5: Solve for x
    x = 409,685.97/545.07
  6. Step 6: Final answer
    x = 751.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.