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Finding the Fourth Proportional to 606.64, 911.16 and 588.24

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Solution

The fourth proportional to 606.64, 911.16 and 588.24 is: 883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.64 : 911.16 = 588.24 : x
  2. Step 2: Convert to fraction form
    606.64/911.16 = 588.24/x
  3. Step 3: Cross multiply
    606.64x = 911.16 × 588.24
  4. Step 4: Simplify right side
    606.64x = 535,980.76
  5. Step 5: Solve for x
    x = 535,980.76/606.64
  6. Step 6: Final answer
    x = 883.52

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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.