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Finding the Fourth Proportional to 594.14, 888.87 and 524.88

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Solution

The fourth proportional to 594.14, 888.87 and 524.88 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.14 : 888.87 = 524.88 : x
  2. Step 2: Convert to fraction form
    594.14/888.87 = 524.88/x
  3. Step 3: Cross multiply
    594.14x = 888.87 × 524.88
  4. Step 4: Simplify right side
    594.14x = 466,552.05
  5. Step 5: Solve for x
    x = 466,552.05/594.14
  6. Step 6: Final answer
    x = 785.26

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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.