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Finding the Fourth Proportional to 942.97, 1,415.00 and 395.10

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Solution

The fourth proportional to 942.97, 1,415.00 and 395.10 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.97 : 1,415.00 = 395.10 : x
  2. Step 2: Convert to fraction form
    942.97/1,415.00 = 395.10/x
  3. Step 3: Cross multiply
    942.97x = 1,415.00 × 395.10
  4. Step 4: Simplify right side
    942.97x = 559,064.52
  5. Step 5: Solve for x
    x = 559,064.52/942.97
  6. Step 6: Final answer
    x = 592.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.