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Finding the Fourth Proportional to 586.08, 808.52 and 389.66

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Solution

The fourth proportional to 586.08, 808.52 and 389.66 is: 537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 808.52 = 389.66 : x
  2. Step 2: Convert to fraction form
    586.08/808.52 = 389.66/x
  3. Step 3: Cross multiply
    586.08x = 808.52 × 389.66
  4. Step 4: Simplify right side
    586.08x = 315,041.91
  5. Step 5: Solve for x
    x = 315,041.91/586.08
  6. Step 6: Final answer
    x = 537.54

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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.