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Finding the Fourth Proportional to 582.48, 803.52 and 346.24

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Solution

The fourth proportional to 582.48, 803.52 and 346.24 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 803.52 = 346.24 : x
  2. Step 2: Convert to fraction form
    582.48/803.52 = 346.24/x
  3. Step 3: Cross multiply
    582.48x = 803.52 × 346.24
  4. Step 4: Simplify right side
    582.48x = 278,210.76
  5. Step 5: Solve for x
    x = 278,210.76/582.48
  6. Step 6: Final answer
    x = 477.63

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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.