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Finding the Fourth Proportional to 597.64, 895.02 and 487.48

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Solution

The fourth proportional to 597.64, 895.02 and 487.48 is: 730.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 895.02 = 487.48 : x
  2. Step 2: Convert to fraction form
    597.64/895.02 = 487.48/x
  3. Step 3: Cross multiply
    597.64x = 895.02 × 487.48
  4. Step 4: Simplify right side
    597.64x = 436,304.35
  5. Step 5: Solve for x
    x = 436,304.35/597.64
  6. Step 6: Final answer
    x = 730.05

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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.