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Finding the Fourth Proportional to 370.48, 510.96 and 260.32

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Solution

The fourth proportional to 370.48, 510.96 and 260.32 is: 359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.48 : 510.96 = 260.32 : x
  2. Step 2: Convert to fraction form
    370.48/510.96 = 260.32/x
  3. Step 3: Cross multiply
    370.48x = 510.96 × 260.32
  4. Step 4: Simplify right side
    370.48x = 133,013.11
  5. Step 5: Solve for x
    x = 133,013.11/370.48
  6. Step 6: Final answer
    x = 359.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.