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Finding the Fourth Proportional to 582.16, 803.22 and 346.14

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Solution

The fourth proportional to 582.16, 803.22 and 346.14 is: 477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 803.22 = 346.14 : x
  2. Step 2: Convert to fraction form
    582.16/803.22 = 346.14/x
  3. Step 3: Cross multiply
    582.16x = 803.22 × 346.14
  4. Step 4: Simplify right side
    582.16x = 278,026.57
  5. Step 5: Solve for x
    x = 278,026.57/582.16
  6. Step 6: Final answer
    x = 477.58

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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.