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Finding the Fourth Proportional to 604.84, 907.26 and 431.59

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Solution

The fourth proportional to 604.84, 907.26 and 431.59 is: 647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.84 : 907.26 = 431.59 : x
  2. Step 2: Convert to fraction form
    604.84/907.26 = 431.59/x
  3. Step 3: Cross multiply
    604.84x = 907.26 × 431.59
  4. Step 4: Simplify right side
    604.84x = 391,566.47
  5. Step 5: Solve for x
    x = 391,566.47/604.84
  6. Step 6: Final answer
    x = 647.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.