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Finding the Fourth Proportional to 604.90, 907.52 and 172.06

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Solution

The fourth proportional to 604.90, 907.52 and 172.06 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.90 : 907.52 = 172.06 : x
  2. Step 2: Convert to fraction form
    604.90/907.52 = 172.06/x
  3. Step 3: Cross multiply
    604.90x = 907.52 × 172.06
  4. Step 4: Simplify right side
    604.90x = 156,147.89
  5. Step 5: Solve for x
    x = 156,147.89/604.90
  6. Step 6: Final answer
    x = 258.14

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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.