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Finding the Fourth Proportional to 608.29, 912.90 and 471

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Solution

The fourth proportional to 608.29, 912.90 and 471 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.29 : 912.90 = 471 : x
  2. Step 2: Convert to fraction form
    608.29/912.90 = 471/x
  3. Step 3: Cross multiply
    608.29x = 912.90 × 471
  4. Step 4: Simplify right side
    608.29x = 429,975.90
  5. Step 5: Solve for x
    x = 429,975.90/608.29
  6. Step 6: Final answer
    x = 706.86

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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.