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Finding the Fourth Proportional to 390.72, 539.01 and 259.77

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Solution

The fourth proportional to 390.72, 539.01 and 259.77 is: 358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.72 : 539.01 = 259.77 : x
  2. Step 2: Convert to fraction form
    390.72/539.01 = 259.77/x
  3. Step 3: Cross multiply
    390.72x = 539.01 × 259.77
  4. Step 4: Simplify right side
    390.72x = 140,018.63
  5. Step 5: Solve for x
    x = 140,018.63/390.72
  6. Step 6: Final answer
    x = 358.36

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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.