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Finding the Fourth Proportional to 597.97, 895.36 and 402.67

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Solution

The fourth proportional to 597.97, 895.36 and 402.67 is: 602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 895.36 = 402.67 : x
  2. Step 2: Convert to fraction form
    597.97/895.36 = 402.67/x
  3. Step 3: Cross multiply
    597.97x = 895.36 × 402.67
  4. Step 4: Simplify right side
    597.97x = 360,530.13
  5. Step 5: Solve for x
    x = 360,530.13/597.97
  6. Step 6: Final answer
    x = 602.93

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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.