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Finding the Fourth Proportional to 524.22, 723.38 and 288.16

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Solution

The fourth proportional to 524.22, 723.38 and 288.16 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.22 : 723.38 = 288.16 : x
  2. Step 2: Convert to fraction form
    524.22/723.38 = 288.16/x
  3. Step 3: Cross multiply
    524.22x = 723.38 × 288.16
  4. Step 4: Simplify right side
    524.22x = 208,449.18
  5. Step 5: Solve for x
    x = 208,449.18/524.22
  6. Step 6: Final answer
    x = 397.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.