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Finding the Fourth Proportional to 586.83, 880.24 and 240.35

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Solution

The fourth proportional to 586.83, 880.24 and 240.35 is: 360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.83 : 880.24 = 240.35 : x
  2. Step 2: Convert to fraction form
    586.83/880.24 = 240.35/x
  3. Step 3: Cross multiply
    586.83x = 880.24 × 240.35
  4. Step 4: Simplify right side
    586.83x = 211,566.76
  5. Step 5: Solve for x
    x = 211,566.76/586.83
  6. Step 6: Final answer
    x = 360.53

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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.