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Finding the Fourth Proportional to 608.31, 912.47 and 175.47

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Solution

The fourth proportional to 608.31, 912.47 and 175.47 is: 263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.31 : 912.47 = 175.47 : x
  2. Step 2: Convert to fraction form
    608.31/912.47 = 175.47/x
  3. Step 3: Cross multiply
    608.31x = 912.47 × 175.47
  4. Step 4: Simplify right side
    608.31x = 160,111.11
  5. Step 5: Solve for x
    x = 160,111.11/608.31
  6. Step 6: Final answer
    x = 263.21

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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.