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Finding the Fourth Proportional to 917.91, 1,377.09 and 430.40

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Solution

The fourth proportional to 917.91, 1,377.09 and 430.40 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.91 : 1,377.09 = 430.40 : x
  2. Step 2: Convert to fraction form
    917.91/1,377.09 = 430.40/x
  3. Step 3: Cross multiply
    917.91x = 1,377.09 × 430.40
  4. Step 4: Simplify right side
    917.91x = 592,692.65
  5. Step 5: Solve for x
    x = 592,692.65/917.91
  6. Step 6: Final answer
    x = 645.70

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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.