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Finding the Fourth Proportional to 917.32, 1,376.70 and 430.12

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Solution

The fourth proportional to 917.32, 1,376.70 and 430.12 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.32 : 1,376.70 = 430.12 : x
  2. Step 2: Convert to fraction form
    917.32/1,376.70 = 430.12/x
  3. Step 3: Cross multiply
    917.32x = 1,376.70 × 430.12
  4. Step 4: Simplify right side
    917.32x = 592,146.20
  5. Step 5: Solve for x
    x = 592,146.20/917.32
  6. Step 6: Final answer
    x = 645.52

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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.