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Finding the Fourth Proportional to 597.80, 895.09 and 337.41

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Solution

The fourth proportional to 597.80, 895.09 and 337.41 is: 505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.80 : 895.09 = 337.41 : x
  2. Step 2: Convert to fraction form
    597.80/895.09 = 337.41/x
  3. Step 3: Cross multiply
    597.80x = 895.09 × 337.41
  4. Step 4: Simplify right side
    597.80x = 302,009.11
  5. Step 5: Solve for x
    x = 302,009.11/597.80
  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.