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Finding the Fourth Proportional to 606.32, 909.50 and 470.24

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Solution

The fourth proportional to 606.32, 909.50 and 470.24 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.32 : 909.50 = 470.24 : x
  2. Step 2: Convert to fraction form
    606.32/909.50 = 470.24/x
  3. Step 3: Cross multiply
    606.32x = 909.50 × 470.24
  4. Step 4: Simplify right side
    606.32x = 427,683.28
  5. Step 5: Solve for x
    x = 427,683.28/606.32
  6. Step 6: Final answer
    x = 705.38

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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.