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Finding the Fourth Proportional to 541.86, 747.57 and 345.46

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Solution

The fourth proportional to 541.86, 747.57 and 345.46 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.86 : 747.57 = 345.46 : x
  2. Step 2: Convert to fraction form
    541.86/747.57 = 345.46/x
  3. Step 3: Cross multiply
    541.86x = 747.57 × 345.46
  4. Step 4: Simplify right side
    541.86x = 258,255.53
  5. Step 5: Solve for x
    x = 258,255.53/541.86
  6. Step 6: Final answer
    x = 476.61

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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.