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Finding the Fourth Proportional to 656.76, 906.32 and 377.04

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Solution

The fourth proportional to 656.76, 906.32 and 377.04 is: 520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 906.32 = 377.04 : x
  2. Step 2: Convert to fraction form
    656.76/906.32 = 377.04/x
  3. Step 3: Cross multiply
    656.76x = 906.32 × 377.04
  4. Step 4: Simplify right side
    656.76x = 341,718.89
  5. Step 5: Solve for x
    x = 341,718.89/656.76
  6. Step 6: Final answer
    x = 520.31

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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.