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Finding the Fourth Proportional to 592.78, 818.14 and 340.72

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Solution

The fourth proportional to 592.78, 818.14 and 340.72 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.78 : 818.14 = 340.72 : x
  2. Step 2: Convert to fraction form
    592.78/818.14 = 340.72/x
  3. Step 3: Cross multiply
    592.78x = 818.14 × 340.72
  4. Step 4: Simplify right side
    592.78x = 278,756.66
  5. Step 5: Solve for x
    x = 278,756.66/592.78
  6. Step 6: Final answer
    x = 470.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.