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Finding the Fourth Proportional to 582.63, 803.56 and 361.16

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Solution

The fourth proportional to 582.63, 803.56 and 361.16 is: 498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.63 : 803.56 = 361.16 : x
  2. Step 2: Convert to fraction form
    582.63/803.56 = 361.16/x
  3. Step 3: Cross multiply
    582.63x = 803.56 × 361.16
  4. Step 4: Simplify right side
    582.63x = 290,213.73
  5. Step 5: Solve for x
    x = 290,213.73/582.63
  6. Step 6: Final answer
    x = 498.11

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Why These Related Problems?

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