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Finding the Fourth Proportional to 583.23, 804.41 and 384.39

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Solution

The fourth proportional to 583.23, 804.41 and 384.39 is: 530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.23 : 804.41 = 384.39 : x
  2. Step 2: Convert to fraction form
    583.23/804.41 = 384.39/x
  3. Step 3: Cross multiply
    583.23x = 804.41 × 384.39
  4. Step 4: Simplify right side
    583.23x = 309,205.24
  5. Step 5: Solve for x
    x = 309,205.24/583.23
  6. Step 6: Final answer
    x = 530.16

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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.