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Finding the Fourth Proportional to 541.70, 747.50 and 317.60

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Solution

The fourth proportional to 541.70, 747.50 and 317.60 is: 438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 747.50 = 317.60 : x
  2. Step 2: Convert to fraction form
    541.70/747.50 = 317.60/x
  3. Step 3: Cross multiply
    541.70x = 747.50 × 317.60
  4. Step 4: Simplify right side
    541.70x = 237,406.00
  5. Step 5: Solve for x
    x = 237,406.00/541.70
  6. Step 6: Final answer
    x = 438.26

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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.