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Finding the Fourth Proportional to 540.60, 746.19 and 307.86

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Solution

The fourth proportional to 540.60, 746.19 and 307.86 is: 424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 746.19 = 307.86 : x
  2. Step 2: Convert to fraction form
    540.60/746.19 = 307.86/x
  3. Step 3: Cross multiply
    540.60x = 746.19 × 307.86
  4. Step 4: Simplify right side
    540.60x = 229,722.05
  5. Step 5: Solve for x
    x = 229,722.05/540.60
  6. Step 6: Final answer
    x = 424.94

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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.