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Finding the Fourth Proportional to 592.23, 886.66 and 313.95

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Solution

The fourth proportional to 592.23, 886.66 and 313.95 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.23 : 886.66 = 313.95 : x
  2. Step 2: Convert to fraction form
    592.23/886.66 = 313.95/x
  3. Step 3: Cross multiply
    592.23x = 886.66 × 313.95
  4. Step 4: Simplify right side
    592.23x = 278,363.97
  5. Step 5: Solve for x
    x = 278,363.97/592.23
  6. Step 6: Final answer
    x = 470.03

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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.