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Finding the Fourth Proportional to 582.71, 804.35 and 386.28

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Solution

The fourth proportional to 582.71, 804.35 and 386.28 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 804.35 = 386.28 : x
  2. Step 2: Convert to fraction form
    582.71/804.35 = 386.28/x
  3. Step 3: Cross multiply
    582.71x = 804.35 × 386.28
  4. Step 4: Simplify right side
    582.71x = 310,704.32
  5. Step 5: Solve for x
    x = 310,704.32/582.71
  6. Step 6: Final answer
    x = 533.21

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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.