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Finding the Fourth Proportional to 289, 433.74 and 175

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Solution

The fourth proportional to 289, 433.74 and 175 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 433.74 = 175 : x
  2. Step 2: Convert to fraction form
    289/433.74 = 175/x
  3. Step 3: Cross multiply
    289x = 433.74 × 175
  4. Step 4: Simplify right side
    289x = 75,904.50
  5. Step 5: Solve for x
    x = 75,904.50/289
  6. Step 6: Final answer
    x = 262.65

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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.