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Finding the Fourth Proportional to 583.84, 805.74 and 347.98

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Solution

The fourth proportional to 583.84, 805.74 and 347.98 is: 480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.84 : 805.74 = 347.98 : x
  2. Step 2: Convert to fraction form
    583.84/805.74 = 347.98/x
  3. Step 3: Cross multiply
    583.84x = 805.74 × 347.98
  4. Step 4: Simplify right side
    583.84x = 280,381.41
  5. Step 5: Solve for x
    x = 280,381.41/583.84
  6. Step 6: Final answer
    x = 480.24

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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.