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Finding the Fourth Proportional to 375.46, 560.73 and 337.19

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Solution

The fourth proportional to 375.46, 560.73 and 337.19 is: 503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.46 : 560.73 = 337.19 : x
  2. Step 2: Convert to fraction form
    375.46/560.73 = 337.19/x
  3. Step 3: Cross multiply
    375.46x = 560.73 × 337.19
  4. Step 4: Simplify right side
    375.46x = 189,069.46
  5. Step 5: Solve for x
    x = 189,069.46/375.46
  6. Step 6: Final answer
    x = 503.57

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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.