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Finding the Fourth Proportional to 350.40, 526.20 and 259.20

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Solution

The fourth proportional to 350.40, 526.20 and 259.20 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 526.20 = 259.20 : x
  2. Step 2: Convert to fraction form
    350.40/526.20 = 259.20/x
  3. Step 3: Cross multiply
    350.40x = 526.20 × 259.20
  4. Step 4: Simplify right side
    350.40x = 136,391.04
  5. Step 5: Solve for x
    x = 136,391.04/350.40
  6. Step 6: Final answer
    x = 389.24

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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.