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Finding the Fourth Proportional to 907.95, 1,362.13 and 323.00

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Solution

The fourth proportional to 907.95, 1,362.13 and 323.00 is: 484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.95 : 1,362.13 = 323.00 : x
  2. Step 2: Convert to fraction form
    907.95/1,362.13 = 323.00/x
  3. Step 3: Cross multiply
    907.95x = 1,362.13 × 323.00
  4. Step 4: Simplify right side
    907.95x = 439,965.48
  5. Step 5: Solve for x
    x = 439,965.48/907.95
  6. Step 6: Final answer
    x = 484.57

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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.