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Finding the Fourth Proportional to 597.31, 895.46 and 415.06

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Solution

The fourth proportional to 597.31, 895.46 and 415.06 is: 622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.31 : 895.46 = 415.06 : x
  2. Step 2: Convert to fraction form
    597.31/895.46 = 415.06/x
  3. Step 3: Cross multiply
    597.31x = 895.46 × 415.06
  4. Step 4: Simplify right side
    597.31x = 371,669.63
  5. Step 5: Solve for x
    x = 371,669.63/597.31
  6. Step 6: Final answer
    x = 622.24

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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.