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Finding the Fourth Proportional to 597.37, 895.50 and 232.08

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Solution

The fourth proportional to 597.37, 895.50 and 232.08 is: 347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.37 : 895.50 = 232.08 : x
  2. Step 2: Convert to fraction form
    597.37/895.50 = 232.08/x
  3. Step 3: Cross multiply
    597.37x = 895.50 × 232.08
  4. Step 4: Simplify right side
    597.37x = 207,827.64
  5. Step 5: Solve for x
    x = 207,827.64/597.37
  6. Step 6: Final answer
    x = 347.90

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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.