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Finding the Fourth Proportional to 583.02, 804.19 and 386.53

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Solution

The fourth proportional to 583.02, 804.19 and 386.53 is: 533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.19 = 386.53 : x
  2. Step 2: Convert to fraction form
    583.02/804.19 = 386.53/x
  3. Step 3: Cross multiply
    583.02x = 804.19 × 386.53
  4. Step 4: Simplify right side
    583.02x = 310,841.63
  5. Step 5: Solve for x
    x = 310,841.63/583.02
  6. Step 6: Final answer
    x = 533.16

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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.