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Finding the Fourth Proportional to 597.30, 895.56 and 537.12

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Solution

The fourth proportional to 597.30, 895.56 and 537.12 is: 805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.30 : 895.56 = 537.12 : x
  2. Step 2: Convert to fraction form
    597.30/895.56 = 537.12/x
  3. Step 3: Cross multiply
    597.30x = 895.56 × 537.12
  4. Step 4: Simplify right side
    597.30x = 481,023.19
  5. Step 5: Solve for x
    x = 481,023.19/597.30
  6. Step 6: Final answer
    x = 805.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.