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Finding the Fourth Proportional to 592.61, 888.84 and 348.93

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Solution

The fourth proportional to 592.61, 888.84 and 348.93 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.61 : 888.84 = 348.93 : x
  2. Step 2: Convert to fraction form
    592.61/888.84 = 348.93/x
  3. Step 3: Cross multiply
    592.61x = 888.84 × 348.93
  4. Step 4: Simplify right side
    592.61x = 310,142.94
  5. Step 5: Solve for x
    x = 310,142.94/592.61
  6. Step 6: Final answer
    x = 523.36

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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.