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Finding the Fourth Proportional to 907.40, 1,361.13 and 322.46

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Solution

The fourth proportional to 907.40, 1,361.13 and 322.46 is: 483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.40 : 1,361.13 = 322.46 : x
  2. Step 2: Convert to fraction form
    907.40/1,361.13 = 322.46/x
  3. Step 3: Cross multiply
    907.40x = 1,361.13 × 322.46
  4. Step 4: Simplify right side
    907.40x = 438,913.38
  5. Step 5: Solve for x
    x = 438,913.38/907.40
  6. Step 6: Final answer
    x = 483.70

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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.