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Finding the Fourth Proportional to 586.53, 879.62 and 278.21

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Solution

The fourth proportional to 586.53, 879.62 and 278.21 is: 417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 879.62 = 278.21 : x
  2. Step 2: Convert to fraction form
    586.53/879.62 = 278.21/x
  3. Step 3: Cross multiply
    586.53x = 879.62 × 278.21
  4. Step 4: Simplify right side
    586.53x = 244,719.89
  5. Step 5: Solve for x
    x = 244,719.89/586.53
  6. Step 6: Final answer
    x = 417.23

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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.