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Finding the Fourth Proportional to 467.08, 700.50 and 322.36

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Solution

The fourth proportional to 467.08, 700.50 and 322.36 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.08 : 700.50 = 322.36 : x
  2. Step 2: Convert to fraction form
    467.08/700.50 = 322.36/x
  3. Step 3: Cross multiply
    467.08x = 700.50 × 322.36
  4. Step 4: Simplify right side
    467.08x = 225,813.18
  5. Step 5: Solve for x
    x = 225,813.18/467.08
  6. Step 6: Final answer
    x = 483.46

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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.