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Finding the Fourth Proportional to 485.32, 726.70 and 375.16

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Solution

The fourth proportional to 485.32, 726.70 and 375.16 is: 561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.32 : 726.70 = 375.16 : x
  2. Step 2: Convert to fraction form
    485.32/726.70 = 375.16/x
  3. Step 3: Cross multiply
    485.32x = 726.70 × 375.16
  4. Step 4: Simplify right side
    485.32x = 272,628.77
  5. Step 5: Solve for x
    x = 272,628.77/485.32
  6. Step 6: Final answer
    x = 561.75

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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.