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Finding the Fourth Proportional to 375.93, 560.33 and 346.16

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Solution

The fourth proportional to 375.93, 560.33 and 346.16 is: 515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 560.33 = 346.16 : x
  2. Step 2: Convert to fraction form
    375.93/560.33 = 346.16/x
  3. Step 3: Cross multiply
    375.93x = 560.33 × 346.16
  4. Step 4: Simplify right side
    375.93x = 193,959.30
  5. Step 5: Solve for x
    x = 193,959.30/375.93
  6. Step 6: Final answer
    x = 515.95

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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.