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Finding the Fourth Proportional to 660.30, 912.24 and 503.46

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Solution

The fourth proportional to 660.30, 912.24 and 503.46 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.30 : 912.24 = 503.46 : x
  2. Step 2: Convert to fraction form
    660.30/912.24 = 503.46/x
  3. Step 3: Cross multiply
    660.30x = 912.24 × 503.46
  4. Step 4: Simplify right side
    660.30x = 459,276.35
  5. Step 5: Solve for x
    x = 459,276.35/660.30
  6. Step 6: Final answer
    x = 695.56

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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.