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Finding the Fourth Proportional to 697.40, 1,045.16 and 258.25

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Solution

The fourth proportional to 697.40, 1,045.16 and 258.25 is: 387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 1,045.16 = 258.25 : x
  2. Step 2: Convert to fraction form
    697.40/1,045.16 = 258.25/x
  3. Step 3: Cross multiply
    697.40x = 1,045.16 × 258.25
  4. Step 4: Simplify right side
    697.40x = 269,907.34
  5. Step 5: Solve for x
    x = 269,907.34/697.40
  6. Step 6: Final answer
    x = 387.02

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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.