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Finding the Fourth Proportional to 307.86, 424.92 and 258.66

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Solution

The fourth proportional to 307.86, 424.92 and 258.66 is: 357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.86 : 424.92 = 258.66 : x
  2. Step 2: Convert to fraction form
    307.86/424.92 = 258.66/x
  3. Step 3: Cross multiply
    307.86x = 424.92 × 258.66
  4. Step 4: Simplify right side
    307.86x = 109,909.81
  5. Step 5: Solve for x
    x = 109,909.81/307.86
  6. Step 6: Final answer
    x = 357.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.