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Finding the Fourth Proportional to 582.22, 803.35 and 333.53

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Solution

The fourth proportional to 582.22, 803.35 and 333.53 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 803.35 = 333.53 : x
  2. Step 2: Convert to fraction form
    582.22/803.35 = 333.53/x
  3. Step 3: Cross multiply
    582.22x = 803.35 × 333.53
  4. Step 4: Simplify right side
    582.22x = 267,941.33
  5. Step 5: Solve for x
    x = 267,941.33/582.22
  6. Step 6: Final answer
    x = 460.21

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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.