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Finding the Fourth Proportional to 917.04, 1,376.01 and 430.14

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Solution

The fourth proportional to 917.04, 1,376.01 and 430.14 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.04 : 1,376.01 = 430.14 : x
  2. Step 2: Convert to fraction form
    917.04/1,376.01 = 430.14/x
  3. Step 3: Cross multiply
    917.04x = 1,376.01 × 430.14
  4. Step 4: Simplify right side
    917.04x = 591,876.94
  5. Step 5: Solve for x
    x = 591,876.94/917.04
  6. Step 6: Final answer
    x = 645.42

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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.