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Finding the Fourth Proportional to 545.96, 754.16 and 436.20

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Solution

The fourth proportional to 545.96, 754.16 and 436.20 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.96 : 754.16 = 436.20 : x
  2. Step 2: Convert to fraction form
    545.96/754.16 = 436.20/x
  3. Step 3: Cross multiply
    545.96x = 754.16 × 436.20
  4. Step 4: Simplify right side
    545.96x = 328,962.41
  5. Step 5: Solve for x
    x = 328,962.41/545.96
  6. Step 6: Final answer
    x = 602.54

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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.