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Finding the Fourth Proportional to 693.90, 957.42 and 473.31

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Solution

The fourth proportional to 693.90, 957.42 and 473.31 is: 653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.90 : 957.42 = 473.31 : x
  2. Step 2: Convert to fraction form
    693.90/957.42 = 473.31/x
  3. Step 3: Cross multiply
    693.90x = 957.42 × 473.31
  4. Step 4: Simplify right side
    693.90x = 453,156.46
  5. Step 5: Solve for x
    x = 453,156.46/693.90
  6. Step 6: Final answer
    x = 653.06

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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.