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Finding the Fourth Proportional to 656.84, 906.64 and 420.71

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Solution

The fourth proportional to 656.84, 906.64 and 420.71 is: 580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 906.64 = 420.71 : x
  2. Step 2: Convert to fraction form
    656.84/906.64 = 420.71/x
  3. Step 3: Cross multiply
    656.84x = 906.64 × 420.71
  4. Step 4: Simplify right side
    656.84x = 381,426.93
  5. Step 5: Solve for x
    x = 381,426.93/656.84
  6. Step 6: Final answer
    x = 580.70

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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.