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Finding the Fourth Proportional to 597.30, 896.53 and 564.43

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Solution

The fourth proportional to 597.30, 896.53 and 564.43 is: 847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 896.53 = 564.43 : x
  2. Step 2: Convert to fraction form
    597.30/896.53 = 564.43/x
  3. Step 3: Cross multiply
    597.30x = 896.53 × 564.43
  4. Step 4: Simplify right side
    597.30x = 506,028.43
  5. Step 5: Solve for x
    x = 506,028.43/597.30
  6. Step 6: Final answer
    x = 847.19

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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.