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Finding the Fourth Proportional to 585.33, 877.91 and 260.62

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Solution

The fourth proportional to 585.33, 877.91 and 260.62 is: 390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 877.91 = 260.62 : x
  2. Step 2: Convert to fraction form
    585.33/877.91 = 260.62/x
  3. Step 3: Cross multiply
    585.33x = 877.91 × 260.62
  4. Step 4: Simplify right side
    585.33x = 228,797.41
  5. Step 5: Solve for x
    x = 228,797.41/585.33
  6. Step 6: Final answer
    x = 390.89

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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.