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Finding the Fourth Proportional to 390.51, 584.70 and 260.71

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Solution

The fourth proportional to 390.51, 584.70 and 260.71 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.51 : 584.70 = 260.71 : x
  2. Step 2: Convert to fraction form
    390.51/584.70 = 260.71/x
  3. Step 3: Cross multiply
    390.51x = 584.70 × 260.71
  4. Step 4: Simplify right side
    390.51x = 152,437.14
  5. Step 5: Solve for x
    x = 152,437.14/390.51
  6. Step 6: Final answer
    x = 390.35

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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.