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Finding the Fourth Proportional to 582.64, 804.66 and 442.76

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Solution

The fourth proportional to 582.64, 804.66 and 442.76 is: 611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 804.66 = 442.76 : x
  2. Step 2: Convert to fraction form
    582.64/804.66 = 442.76/x
  3. Step 3: Cross multiply
    582.64x = 804.66 × 442.76
  4. Step 4: Simplify right side
    582.64x = 356,269.05
  5. Step 5: Solve for x
    x = 356,269.05/582.64
  6. Step 6: Final answer
    x = 611.47

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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.