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Finding the Fourth Proportional to 582.22, 803.58 and 361.30

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Solution

The fourth proportional to 582.22, 803.58 and 361.30 is: 498.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 803.58 = 361.30 : x
  2. Step 2: Convert to fraction form
    582.22/803.58 = 361.30/x
  3. Step 3: Cross multiply
    582.22x = 803.58 × 361.30
  4. Step 4: Simplify right side
    582.22x = 290,333.45
  5. Step 5: Solve for x
    x = 290,333.45/582.22
  6. Step 6: Final answer
    x = 498.67

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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.