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Finding the Fourth Proportional to 693.23, 956.03 and 457.01

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Solution

The fourth proportional to 693.23, 956.03 and 457.01 is: 630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 956.03 = 457.01 : x
  2. Step 2: Convert to fraction form
    693.23/956.03 = 457.01/x
  3. Step 3: Cross multiply
    693.23x = 956.03 × 457.01
  4. Step 4: Simplify right side
    693.23x = 436,908.21
  5. Step 5: Solve for x
    x = 436,908.21/693.23
  6. Step 6: Final answer
    x = 630.25

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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.