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Finding the Fourth Proportional to 597.45, 895.80 and 207.36

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Solution

The fourth proportional to 597.45, 895.80 and 207.36 is: 310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.45 : 895.80 = 207.36 : x
  2. Step 2: Convert to fraction form
    597.45/895.80 = 207.36/x
  3. Step 3: Cross multiply
    597.45x = 895.80 × 207.36
  4. Step 4: Simplify right side
    597.45x = 185,753.09
  5. Step 5: Solve for x
    x = 185,753.09/597.45
  6. Step 6: Final answer
    x = 310.91

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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.