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Finding the Fourth Proportional to 607, 911.09 and 471.52

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Solution

The fourth proportional to 607, 911.09 and 471.52 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    607 : 911.09 = 471.52 : x
  2. Step 2: Convert to fraction form
    607/911.09 = 471.52/x
  3. Step 3: Cross multiply
    607x = 911.09 × 471.52
  4. Step 4: Simplify right side
    607x = 429,597.16
  5. Step 5: Solve for x
    x = 429,597.16/607
  6. Step 6: Final answer
    x = 707.74

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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.