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Finding the Fourth Proportional to 917.56, 1,375.93 and 430.35

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Solution

The fourth proportional to 917.56, 1,375.93 and 430.35 is: 645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.56 : 1,375.93 = 430.35 : x
  2. Step 2: Convert to fraction form
    917.56/1,375.93 = 430.35/x
  3. Step 3: Cross multiply
    917.56x = 1,375.93 × 430.35
  4. Step 4: Simplify right side
    917.56x = 592,131.48
  5. Step 5: Solve for x
    x = 592,131.48/917.56
  6. Step 6: Final answer
    x = 645.33

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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.