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Finding the Fourth Proportional to 390.51, 539.06 and 259.47

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Solution

The fourth proportional to 390.51, 539.06 and 259.47 is: 358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.51 : 539.06 = 259.47 : x
  2. Step 2: Convert to fraction form
    390.51/539.06 = 259.47/x
  3. Step 3: Cross multiply
    390.51x = 539.06 × 259.47
  4. Step 4: Simplify right side
    390.51x = 139,868.60
  5. Step 5: Solve for x
    x = 139,868.60/390.51
  6. Step 6: Final answer
    x = 358.17

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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.