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Finding the Fourth Proportional to 597.64, 895.25 and 337.25

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Solution

The fourth proportional to 597.64, 895.25 and 337.25 is: 505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 895.25 = 337.25 : x
  2. Step 2: Convert to fraction form
    597.64/895.25 = 337.25/x
  3. Step 3: Cross multiply
    597.64x = 895.25 × 337.25
  4. Step 4: Simplify right side
    597.64x = 301,923.06
  5. Step 5: Solve for x
    x = 301,923.06/597.64
  6. Step 6: Final answer
    x = 505.20

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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.