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Finding the Fourth Proportional to 585.33, 877.70 and 195.19

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Solution

The fourth proportional to 585.33, 877.70 and 195.19 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.33 : 877.70 = 195.19 : x
  2. Step 2: Convert to fraction form
    585.33/877.70 = 195.19/x
  3. Step 3: Cross multiply
    585.33x = 877.70 × 195.19
  4. Step 4: Simplify right side
    585.33x = 171,321.49
  5. Step 5: Solve for x
    x = 171,321.49/585.33
  6. Step 6: Final answer
    x = 292.69

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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.