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Finding the Fourth Proportional to 271.68, 404.75 and 258.35

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Solution

The fourth proportional to 271.68, 404.75 and 258.35 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 404.75 = 258.35 : x
  2. Step 2: Convert to fraction form
    271.68/404.75 = 258.35/x
  3. Step 3: Cross multiply
    271.68x = 404.75 × 258.35
  4. Step 4: Simplify right side
    271.68x = 104,567.16
  5. Step 5: Solve for x
    x = 104,567.16/271.68
  6. Step 6: Final answer
    x = 384.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.