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Finding the Fourth Proportional to 349.42, 526.16 and 258.76

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Solution

The fourth proportional to 349.42, 526.16 and 258.76 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.42 : 526.16 = 258.76 : x
  2. Step 2: Convert to fraction form
    349.42/526.16 = 258.76/x
  3. Step 3: Cross multiply
    349.42x = 526.16 × 258.76
  4. Step 4: Simplify right side
    349.42x = 136,149.81
  5. Step 5: Solve for x
    x = 136,149.81/349.42
  6. Step 6: Final answer
    x = 389.65

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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.