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Finding the Fourth Proportional to 586.16, 808.96 and 337.49

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Solution

The fourth proportional to 586.16, 808.96 and 337.49 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 808.96 = 337.49 : x
  2. Step 2: Convert to fraction form
    586.16/808.96 = 337.49/x
  3. Step 3: Cross multiply
    586.16x = 808.96 × 337.49
  4. Step 4: Simplify right side
    586.16x = 273,015.91
  5. Step 5: Solve for x
    x = 273,015.91/586.16
  6. Step 6: Final answer
    x = 465.77

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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.