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Finding the Fourth Proportional to 660.71, 912.24 and 590.56

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Solution

The fourth proportional to 660.71, 912.24 and 590.56 is: 815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.71 : 912.24 = 590.56 : x
  2. Step 2: Convert to fraction form
    660.71/912.24 = 590.56/x
  3. Step 3: Cross multiply
    660.71x = 912.24 × 590.56
  4. Step 4: Simplify right side
    660.71x = 538,730.17
  5. Step 5: Solve for x
    x = 538,730.17/660.71
  6. Step 6: Final answer
    x = 815.38

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1.5x scale

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.