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Finding the Fourth Proportional to 542.58, 748.05 and 416.67

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Solution

The fourth proportional to 542.58, 748.05 and 416.67 is: 574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 748.05 = 416.67 : x
  2. Step 2: Convert to fraction form
    542.58/748.05 = 416.67/x
  3. Step 3: Cross multiply
    542.58x = 748.05 × 416.67
  4. Step 4: Simplify right side
    542.58x = 311,689.99
  5. Step 5: Solve for x
    x = 311,689.99/542.58
  6. Step 6: Final answer
    x = 574.46

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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.