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Finding the Fourth Proportional to 693.80, 958.19 and 473.34

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Solution

The fourth proportional to 693.80, 958.19 and 473.34 is: 653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.80 : 958.19 = 473.34 : x
  2. Step 2: Convert to fraction form
    693.80/958.19 = 473.34/x
  3. Step 3: Cross multiply
    693.80x = 958.19 × 473.34
  4. Step 4: Simplify right side
    693.80x = 453,547.29
  5. Step 5: Solve for x
    x = 453,547.29/693.80
  6. Step 6: Final answer
    x = 653.72

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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.