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Finding the Fourth Proportional to 597.34, 895.84 and 207.24

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Solution

The fourth proportional to 597.34, 895.84 and 207.24 is: 310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.34 : 895.84 = 207.24 : x
  2. Step 2: Convert to fraction form
    597.34/895.84 = 207.24/x
  3. Step 3: Cross multiply
    597.34x = 895.84 × 207.24
  4. Step 4: Simplify right side
    597.34x = 185,656.21
  5. Step 5: Solve for x
    x = 185,656.21/597.34
  6. Step 6: Final answer
    x = 310.80

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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.