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Finding the Fourth Proportional to 604.98, 907.47 and 410.22

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Solution

The fourth proportional to 604.98, 907.47 and 410.22 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.98 : 907.47 = 410.22 : x
  2. Step 2: Convert to fraction form
    604.98/907.47 = 410.22/x
  3. Step 3: Cross multiply
    604.98x = 907.47 × 410.22
  4. Step 4: Simplify right side
    604.98x = 372,262.34
  5. Step 5: Solve for x
    x = 372,262.34/604.98
  6. Step 6: Final answer
    x = 615.33

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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.