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Finding the Fourth Proportional to 907.46, 1,361 and 258.02

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Solution

The fourth proportional to 907.46, 1,361 and 258.02 is: 386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.46 : 1,361 = 258.02 : x
  2. Step 2: Convert to fraction form
    907.46/1,361 = 258.02/x
  3. Step 3: Cross multiply
    907.46x = 1,361 × 258.02
  4. Step 4: Simplify right side
    907.46x = 351,165.22
  5. Step 5: Solve for x
    x = 351,165.22/907.46
  6. Step 6: Final answer
    x = 386.98

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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.