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Finding the Fourth Proportional to 467.07, 700.60 and 456.09

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Solution

The fourth proportional to 467.07, 700.60 and 456.09 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 700.60 = 456.09 : x
  2. Step 2: Convert to fraction form
    467.07/700.60 = 456.09/x
  3. Step 3: Cross multiply
    467.07x = 700.60 × 456.09
  4. Step 4: Simplify right side
    467.07x = 319,536.65
  5. Step 5: Solve for x
    x = 319,536.65/467.07
  6. Step 6: Final answer
    x = 684.13

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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.