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Finding the Fourth Proportional to 670.16, 1,005.23 and 440.50

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Solution

The fourth proportional to 670.16, 1,005.23 and 440.50 is: 660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 1,005.23 = 440.50 : x
  2. Step 2: Convert to fraction form
    670.16/1,005.23 = 440.50/x
  3. Step 3: Cross multiply
    670.16x = 1,005.23 × 440.50
  4. Step 4: Simplify right side
    670.16x = 442,798.79
  5. Step 5: Solve for x
    x = 442,798.79/670.16
  6. Step 6: Final answer
    x = 660.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.