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Finding the Fourth Proportional to 375.73, 560.75 and 366.01

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Solution

The fourth proportional to 375.73, 560.75 and 366.01 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.73 : 560.75 = 366.01 : x
  2. Step 2: Convert to fraction form
    375.73/560.75 = 366.01/x
  3. Step 3: Cross multiply
    375.73x = 560.75 × 366.01
  4. Step 4: Simplify right side
    375.73x = 205,235.47
  5. Step 5: Solve for x
    x = 205,235.47/375.73
  6. Step 6: Final answer
    x = 546.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.