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Finding the Fourth Proportional to 604.85, 907.82 and 312.56

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Solution

The fourth proportional to 604.85, 907.82 and 312.56 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.85 : 907.82 = 312.56 : x
  2. Step 2: Convert to fraction form
    604.85/907.82 = 312.56/x
  3. Step 3: Cross multiply
    604.85x = 907.82 × 312.56
  4. Step 4: Simplify right side
    604.85x = 283,748.22
  5. Step 5: Solve for x
    x = 283,748.22/604.85
  6. Step 6: Final answer
    x = 469.12

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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.