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Finding the Fourth Proportional to 588.24, 877.85 and 526.76

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Solution

The fourth proportional to 588.24, 877.85 and 526.76 is: 786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 877.85 = 526.76 : x
  2. Step 2: Convert to fraction form
    588.24/877.85 = 526.76/x
  3. Step 3: Cross multiply
    588.24x = 877.85 × 526.76
  4. Step 4: Simplify right side
    588.24x = 462,409.24
  5. Step 5: Solve for x
    x = 462,409.24/588.24
  6. Step 6: Final answer
    x = 786.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.