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Finding the Fourth Proportional to 545.74, 753.91 and 434.06

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Solution

The fourth proportional to 545.74, 753.91 and 434.06 is: 599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.74 : 753.91 = 434.06 : x
  2. Step 2: Convert to fraction form
    545.74/753.91 = 434.06/x
  3. Step 3: Cross multiply
    545.74x = 753.91 × 434.06
  4. Step 4: Simplify right side
    545.74x = 327,240.15
  5. Step 5: Solve for x
    x = 327,240.15/545.74
  6. Step 6: Final answer
    x = 599.63

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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.