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Finding the Fourth Proportional to 583.04, 803.76 and 386.84

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Solution

The fourth proportional to 583.04, 803.76 and 386.84 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.04 : 803.76 = 386.84 : x
  2. Step 2: Convert to fraction form
    583.04/803.76 = 386.84/x
  3. Step 3: Cross multiply
    583.04x = 803.76 × 386.84
  4. Step 4: Simplify right side
    583.04x = 310,926.52
  5. Step 5: Solve for x
    x = 310,926.52/583.04
  6. Step 6: Final answer
    x = 533.29

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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.