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Finding the Fourth Proportional to 467.23, 700.59 and 302.68

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Solution

The fourth proportional to 467.23, 700.59 and 302.68 is: 453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.23 : 700.59 = 302.68 : x
  2. Step 2: Convert to fraction form
    467.23/700.59 = 302.68/x
  3. Step 3: Cross multiply
    467.23x = 700.59 × 302.68
  4. Step 4: Simplify right side
    467.23x = 212,054.58
  5. Step 5: Solve for x
    x = 212,054.58/467.23
  6. Step 6: Final answer
    x = 453.85

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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.