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Finding the Fourth Proportional to 469.23, 703.23 and 314.92

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Solution

The fourth proportional to 469.23, 703.23 and 314.92 is: 471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.23 : 703.23 = 314.92 : x
  2. Step 2: Convert to fraction form
    469.23/703.23 = 314.92/x
  3. Step 3: Cross multiply
    469.23x = 703.23 × 314.92
  4. Step 4: Simplify right side
    469.23x = 221,461.19
  5. Step 5: Solve for x
    x = 221,461.19/469.23
  6. Step 6: Final answer
    x = 471.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.