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Finding the Fourth Proportional to 597.38, 895.74 and 304.70

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Solution

The fourth proportional to 597.38, 895.74 and 304.70 is: 456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 895.74 = 304.70 : x
  2. Step 2: Convert to fraction form
    597.38/895.74 = 304.70/x
  3. Step 3: Cross multiply
    597.38x = 895.74 × 304.70
  4. Step 4: Simplify right side
    597.38x = 272,933.11
  5. Step 5: Solve for x
    x = 272,933.11/597.38
  6. Step 6: Final answer
    x = 456.88

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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.