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Finding the Fourth Proportional to 582.10, 803.37 and 346.17

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Solution

The fourth proportional to 582.10, 803.37 and 346.17 is: 477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.10 : 803.37 = 346.17 : x
  2. Step 2: Convert to fraction form
    582.10/803.37 = 346.17/x
  3. Step 3: Cross multiply
    582.10x = 803.37 × 346.17
  4. Step 4: Simplify right side
    582.10x = 278,102.59
  5. Step 5: Solve for x
    x = 278,102.59/582.10
  6. Step 6: Final answer
    x = 477.76

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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.