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Finding the Fourth Proportional to 587.04, 809.36 and 455.84

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Solution

The fourth proportional to 587.04, 809.36 and 455.84 is: 628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.04 : 809.36 = 455.84 : x
  2. Step 2: Convert to fraction form
    587.04/809.36 = 455.84/x
  3. Step 3: Cross multiply
    587.04x = 809.36 × 455.84
  4. Step 4: Simplify right side
    587.04x = 368,938.66
  5. Step 5: Solve for x
    x = 368,938.66/587.04
  6. Step 6: Final answer
    x = 628.47

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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.