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Finding the Fourth Proportional to 917.64, 1,376.52 and 430.92

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Solution

The fourth proportional to 917.64, 1,376.52 and 430.92 is: 646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.64 : 1,376.52 = 430.92 : x
  2. Step 2: Convert to fraction form
    917.64/1,376.52 = 430.92/x
  3. Step 3: Cross multiply
    917.64x = 1,376.52 × 430.92
  4. Step 4: Simplify right side
    917.64x = 593,170.00
  5. Step 5: Solve for x
    x = 593,170.00/917.64
  6. Step 6: Final answer
    x = 646.41

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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.