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Finding the Fourth Proportional to 587.69, 811.06 and 335.64

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Solution

The fourth proportional to 587.69, 811.06 and 335.64 is: 463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 811.06 = 335.64 : x
  2. Step 2: Convert to fraction form
    587.69/811.06 = 335.64/x
  3. Step 3: Cross multiply
    587.69x = 811.06 × 335.64
  4. Step 4: Simplify right side
    587.69x = 272,223.34
  5. Step 5: Solve for x
    x = 272,223.34/587.69
  6. Step 6: Final answer
    x = 463.21

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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.