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Finding the Fourth Proportional to 672.84, 1,009.26 and 288

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Solution

The fourth proportional to 672.84, 1,009.26 and 288 is: 432

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.84 : 1,009.26 = 288 : x
  2. Step 2: Convert to fraction form
    672.84/1,009.26 = 288/x
  3. Step 3: Cross multiply
    672.84x = 1,009.26 × 288
  4. Step 4: Simplify right side
    672.84x = 290,666.88
  5. Step 5: Solve for x
    x = 290,666.88/672.84
  6. Step 6: Final answer
    x = 432

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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.