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Finding the Fourth Proportional to 693.40, 956.84 and 427.72

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Solution

The fourth proportional to 693.40, 956.84 and 427.72 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 956.84 = 427.72 : x
  2. Step 2: Convert to fraction form
    693.40/956.84 = 427.72/x
  3. Step 3: Cross multiply
    693.40x = 956.84 × 427.72
  4. Step 4: Simplify right side
    693.40x = 409,259.60
  5. Step 5: Solve for x
    x = 409,259.60/693.40
  6. Step 6: Final answer
    x = 590.22

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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.