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Finding the Fourth Proportional to 597.24, 891.99 and 564.12

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Solution

The fourth proportional to 597.24, 891.99 and 564.12 is: 842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 891.99 = 564.12 : x
  2. Step 2: Convert to fraction form
    597.24/891.99 = 564.12/x
  3. Step 3: Cross multiply
    597.24x = 891.99 × 564.12
  4. Step 4: Simplify right side
    597.24x = 503,189.40
  5. Step 5: Solve for x
    x = 503,189.40/597.24
  6. Step 6: Final answer
    x = 842.52

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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.