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Finding the Fourth Proportional to 545.34, 747.66 and 535.62

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Solution

The fourth proportional to 545.34, 747.66 and 535.62 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 747.66 = 535.62 : x
  2. Step 2: Convert to fraction form
    545.34/747.66 = 535.62/x
  3. Step 3: Cross multiply
    545.34x = 747.66 × 535.62
  4. Step 4: Simplify right side
    545.34x = 400,461.65
  5. Step 5: Solve for x
    x = 400,461.65/545.34
  6. Step 6: Final answer
    x = 734.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.