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Finding the Fourth Proportional to 469.56, 703.92 and 296.10

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Solution

The fourth proportional to 469.56, 703.92 and 296.10 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 703.92 = 296.10 : x
  2. Step 2: Convert to fraction form
    469.56/703.92 = 296.10/x
  3. Step 3: Cross multiply
    469.56x = 703.92 × 296.10
  4. Step 4: Simplify right side
    469.56x = 208,430.71
  5. Step 5: Solve for x
    x = 208,430.71/469.56
  6. Step 6: Final answer
    x = 443.89

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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.