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Finding the Fourth Proportional to 583.84, 805.20 and 386.98

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Solution

The fourth proportional to 583.84, 805.20 and 386.98 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.84 : 805.20 = 386.98 : x
  2. Step 2: Convert to fraction form
    583.84/805.20 = 386.98/x
  3. Step 3: Cross multiply
    583.84x = 805.20 × 386.98
  4. Step 4: Simplify right side
    583.84x = 311,596.30
  5. Step 5: Solve for x
    x = 311,596.30/583.84
  6. Step 6: Final answer
    x = 533.70

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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.