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Finding the Fourth Proportional to 588.74, 883.33 and 435.95

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Solution

The fourth proportional to 588.74, 883.33 and 435.95 is: 654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 883.33 = 435.95 : x
  2. Step 2: Convert to fraction form
    588.74/883.33 = 435.95/x
  3. Step 3: Cross multiply
    588.74x = 883.33 × 435.95
  4. Step 4: Simplify right side
    588.74x = 385,085.52
  5. Step 5: Solve for x
    x = 385,085.52/588.74
  6. Step 6: Final answer
    x = 654.09

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Why These Related Problems?

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