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Finding the Fourth Proportional to 349.89, 526.88 and 259.22

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Solution

The fourth proportional to 349.89, 526.88 and 259.22 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 526.88 = 259.22 : x
  2. Step 2: Convert to fraction form
    349.89/526.88 = 259.22/x
  3. Step 3: Cross multiply
    349.89x = 526.88 × 259.22
  4. Step 4: Simplify right side
    349.89x = 136,577.83
  5. Step 5: Solve for x
    x = 136,577.83/349.89
  6. Step 6: Final answer
    x = 390.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.