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Finding the Fourth Proportional to 604.71, 907.14 and 296.57

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Solution

The fourth proportional to 604.71, 907.14 and 296.57 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 907.14 = 296.57 : x
  2. Step 2: Convert to fraction form
    604.71/907.14 = 296.57/x
  3. Step 3: Cross multiply
    604.71x = 907.14 × 296.57
  4. Step 4: Simplify right side
    604.71x = 269,027.50
  5. Step 5: Solve for x
    x = 269,027.50/604.71
  6. Step 6: Final answer
    x = 444.89

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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.