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Finding the Fourth Proportional to 545.74, 753.08 and 309.69

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Solution

The fourth proportional to 545.74, 753.08 and 309.69 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.74 : 753.08 = 309.69 : x
  2. Step 2: Convert to fraction form
    545.74/753.08 = 309.69/x
  3. Step 3: Cross multiply
    545.74x = 753.08 × 309.69
  4. Step 4: Simplify right side
    545.74x = 233,221.54
  5. Step 5: Solve for x
    x = 233,221.54/545.74
  6. Step 6: Final answer
    x = 427.35

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Double scale
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1.5x scale

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.