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Finding the Fourth Proportional to 693.93, 958.01 and 473.21

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Solution

The fourth proportional to 693.93, 958.01 and 473.21 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.93 : 958.01 = 473.21 : x
  2. Step 2: Convert to fraction form
    693.93/958.01 = 473.21/x
  3. Step 3: Cross multiply
    693.93x = 958.01 × 473.21
  4. Step 4: Simplify right side
    693.93x = 453,332.76
  5. Step 5: Solve for x
    x = 453,332.76/693.93
  6. Step 6: Final answer
    x = 653.28

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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.