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Finding the Fourth Proportional to 582.52, 803.97 and 346.48

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Solution

The fourth proportional to 582.52, 803.97 and 346.48 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 803.97 = 346.48 : x
  2. Step 2: Convert to fraction form
    582.52/803.97 = 346.48/x
  3. Step 3: Cross multiply
    582.52x = 803.97 × 346.48
  4. Step 4: Simplify right side
    582.52x = 278,555.51
  5. Step 5: Solve for x
    x = 278,555.51/582.52
  6. Step 6: Final answer
    x = 478.19

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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.