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Finding the Fourth Proportional to 586.67, 879.16 and 401.40

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Solution

The fourth proportional to 586.67, 879.16 and 401.40 is: 601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.67 : 879.16 = 401.40 : x
  2. Step 2: Convert to fraction form
    586.67/879.16 = 401.40/x
  3. Step 3: Cross multiply
    586.67x = 879.16 × 401.40
  4. Step 4: Simplify right side
    586.67x = 352,894.82
  5. Step 5: Solve for x
    x = 352,894.82/586.67
  6. Step 6: Final answer
    x = 601.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.