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Finding the Fourth Proportional to 541.60, 747.39 and 317.58

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Solution

The fourth proportional to 541.60, 747.39 and 317.58 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 747.39 = 317.58 : x
  2. Step 2: Convert to fraction form
    541.60/747.39 = 317.58/x
  3. Step 3: Cross multiply
    541.60x = 747.39 × 317.58
  4. Step 4: Simplify right side
    541.60x = 237,356.12
  5. Step 5: Solve for x
    x = 237,356.12/541.60
  6. Step 6: Final answer
    x = 438.25

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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.