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Finding the Fourth Proportional to 322.16, 482.32 and 288.77

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Solution

The fourth proportional to 322.16, 482.32 and 288.77 is: 432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.16 : 482.32 = 288.77 : x
  2. Step 2: Convert to fraction form
    322.16/482.32 = 288.77/x
  3. Step 3: Cross multiply
    322.16x = 482.32 × 288.77
  4. Step 4: Simplify right side
    322.16x = 139,280.03
  5. Step 5: Solve for x
    x = 139,280.03/322.16
  6. Step 6: Final answer
    x = 432.33

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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.