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Finding the Fourth Proportional to 656.08, 906.62 and 470.18

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Solution

The fourth proportional to 656.08, 906.62 and 470.18 is: 649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.08 : 906.62 = 470.18 : x
  2. Step 2: Convert to fraction form
    656.08/906.62 = 470.18/x
  3. Step 3: Cross multiply
    656.08x = 906.62 × 470.18
  4. Step 4: Simplify right side
    656.08x = 426,274.51
  5. Step 5: Solve for x
    x = 426,274.51/656.08
  6. Step 6: Final answer
    x = 649.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.