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Finding the Fourth Proportional to 289.76, 432.53 and 268.07

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Solution

The fourth proportional to 289.76, 432.53 and 268.07 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 432.53 = 268.07 : x
  2. Step 2: Convert to fraction form
    289.76/432.53 = 268.07/x
  3. Step 3: Cross multiply
    289.76x = 432.53 × 268.07
  4. Step 4: Simplify right side
    289.76x = 115,944.81
  5. Step 5: Solve for x
    x = 115,944.81/289.76
  6. Step 6: Final answer
    x = 400.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.