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Finding the Fourth Proportional to 586.36, 879.14 and 424.36

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Solution

The fourth proportional to 586.36, 879.14 and 424.36 is: 636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.36 : 879.14 = 424.36 : x
  2. Step 2: Convert to fraction form
    586.36/879.14 = 424.36/x
  3. Step 3: Cross multiply
    586.36x = 879.14 × 424.36
  4. Step 4: Simplify right side
    586.36x = 373,071.85
  5. Step 5: Solve for x
    x = 373,071.85/586.36
  6. Step 6: Final answer
    x = 636.25

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