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Finding the Fourth Proportional to 588.75, 881.63 and 354.35

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Solution

The fourth proportional to 588.75, 881.63 and 354.35 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 881.63 = 354.35 : x
  2. Step 2: Convert to fraction form
    588.75/881.63 = 354.35/x
  3. Step 3: Cross multiply
    588.75x = 881.63 × 354.35
  4. Step 4: Simplify right side
    588.75x = 312,401.18
  5. Step 5: Solve for x
    x = 312,401.18/588.75
  6. Step 6: Final answer
    x = 530.62

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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.