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Finding the Fourth Proportional to 588.68, 881.18 and 526.84

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Solution

The fourth proportional to 588.68, 881.18 and 526.84 is: 788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.68 : 881.18 = 526.84 : x
  2. Step 2: Convert to fraction form
    588.68/881.18 = 526.84/x
  3. Step 3: Cross multiply
    588.68x = 881.18 × 526.84
  4. Step 4: Simplify right side
    588.68x = 464,240.87
  5. Step 5: Solve for x
    x = 464,240.87/588.68
  6. Step 6: Final answer
    x = 788.61

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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.