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Finding the Fourth Proportional to 592.81, 888.75 and 397.50

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Solution

The fourth proportional to 592.81, 888.75 and 397.50 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.81 : 888.75 = 397.50 : x
  2. Step 2: Convert to fraction form
    592.81/888.75 = 397.50/x
  3. Step 3: Cross multiply
    592.81x = 888.75 × 397.50
  4. Step 4: Simplify right side
    592.81x = 353,273.68
  5. Step 5: Solve for x
    x = 353,273.68/592.81
  6. Step 6: Final answer
    x = 595.93

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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.