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Finding the Fourth Proportional to 584.41, 876.62 and 340.77

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Solution

The fourth proportional to 584.41, 876.62 and 340.77 is: 511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.41 : 876.62 = 340.77 : x
  2. Step 2: Convert to fraction form
    584.41/876.62 = 340.77/x
  3. Step 3: Cross multiply
    584.41x = 876.62 × 340.77
  4. Step 4: Simplify right side
    584.41x = 298,719.71
  5. Step 5: Solve for x
    x = 298,719.71/584.41
  6. Step 6: Final answer
    x = 511.15

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