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Finding the Fourth Proportional to 582.94, 804.48 and 386.38

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Solution

The fourth proportional to 582.94, 804.48 and 386.38 is: 533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 804.48 = 386.38 : x
  2. Step 2: Convert to fraction form
    582.94/804.48 = 386.38/x
  3. Step 3: Cross multiply
    582.94x = 804.48 × 386.38
  4. Step 4: Simplify right side
    582.94x = 310,834.98
  5. Step 5: Solve for x
    x = 310,834.98/582.94
  6. Step 6: Final answer
    x = 533.22

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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.