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Finding the Fourth Proportional to 594.28, 821.64 and 567.88

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Solution

The fourth proportional to 594.28, 821.64 and 567.88 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.28 : 821.64 = 567.88 : x
  2. Step 2: Convert to fraction form
    594.28/821.64 = 567.88/x
  3. Step 3: Cross multiply
    594.28x = 821.64 × 567.88
  4. Step 4: Simplify right side
    594.28x = 466,592.92
  5. Step 5: Solve for x
    x = 466,592.92/594.28
  6. Step 6: Final answer
    x = 785.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.