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Finding the Fourth Proportional to 586.01, 808.61 and 324.05

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Solution

The fourth proportional to 586.01, 808.61 and 324.05 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.01 : 808.61 = 324.05 : x
  2. Step 2: Convert to fraction form
    586.01/808.61 = 324.05/x
  3. Step 3: Cross multiply
    586.01x = 808.61 × 324.05
  4. Step 4: Simplify right side
    586.01x = 262,024.41
  5. Step 5: Solve for x
    x = 262,024.41/586.01
  6. Step 6: Final answer
    x = 447.14

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