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Finding the Fourth Proportional to 914.10, 1,370.93 and 264.69

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Solution

The fourth proportional to 914.10, 1,370.93 and 264.69 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,370.93 = 264.69 : x
  2. Step 2: Convert to fraction form
    914.10/1,370.93 = 264.69/x
  3. Step 3: Cross multiply
    914.10x = 1,370.93 × 264.69
  4. Step 4: Simplify right side
    914.10x = 362,870.14
  5. Step 5: Solve for x
    x = 362,870.14/914.10
  6. Step 6: Final answer
    x = 396.97

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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.