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Finding the Fourth Proportional to 608.58, 911.25 and 471.69

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Solution

The fourth proportional to 608.58, 911.25 and 471.69 is: 706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.58 : 911.25 = 471.69 : x
  2. Step 2: Convert to fraction form
    608.58/911.25 = 471.69/x
  3. Step 3: Cross multiply
    608.58x = 911.25 × 471.69
  4. Step 4: Simplify right side
    608.58x = 429,827.51
  5. Step 5: Solve for x
    x = 429,827.51/608.58
  6. Step 6: Final answer
    x = 706.28

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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.