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Finding the Fourth Proportional to 390.78, 539.01 and 260.01

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Solution

The fourth proportional to 390.78, 539.01 and 260.01 is: 358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.78 : 539.01 = 260.01 : x
  2. Step 2: Convert to fraction form
    390.78/539.01 = 260.01/x
  3. Step 3: Cross multiply
    390.78x = 539.01 × 260.01
  4. Step 4: Simplify right side
    390.78x = 140,147.99
  5. Step 5: Solve for x
    x = 140,147.99/390.78
  6. Step 6: Final answer
    x = 358.64

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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.