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Finding the Fourth Proportional to 835.52, 1,252.32 and 322.24

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Solution

The fourth proportional to 835.52, 1,252.32 and 322.24 is: 482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.52 : 1,252.32 = 322.24 : x
  2. Step 2: Convert to fraction form
    835.52/1,252.32 = 322.24/x
  3. Step 3: Cross multiply
    835.52x = 1,252.32 × 322.24
  4. Step 4: Simplify right side
    835.52x = 403,547.60
  5. Step 5: Solve for x
    x = 403,547.60/835.52
  6. Step 6: Final answer
    x = 482.99

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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.