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Finding the Fourth Proportional to 582.84, 804.56 and 386.62

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Solution

The fourth proportional to 582.84, 804.56 and 386.62 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 804.56 = 386.62 : x
  2. Step 2: Convert to fraction form
    582.84/804.56 = 386.62/x
  3. Step 3: Cross multiply
    582.84x = 804.56 × 386.62
  4. Step 4: Simplify right side
    582.84x = 311,058.99
  5. Step 5: Solve for x
    x = 311,058.99/582.84
  6. Step 6: Final answer
    x = 533.70

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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.