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Finding the Fourth Proportional to 289, 435.67 and 284.68

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Solution

The fourth proportional to 289, 435.67 and 284.68 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 435.67 = 284.68 : x
  2. Step 2: Convert to fraction form
    289/435.67 = 284.68/x
  3. Step 3: Cross multiply
    289x = 435.67 × 284.68
  4. Step 4: Simplify right side
    289x = 124,026.54
  5. Step 5: Solve for x
    x = 124,026.54/289
  6. Step 6: Final answer
    x = 429.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.