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Finding the Fourth Proportional to 583.74, 805.01 and 386.91

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Solution

The fourth proportional to 583.74, 805.01 and 386.91 is: 533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.01 = 386.91 : x
  2. Step 2: Convert to fraction form
    583.74/805.01 = 386.91/x
  3. Step 3: Cross multiply
    583.74x = 805.01 × 386.91
  4. Step 4: Simplify right side
    583.74x = 311,464.48
  5. Step 5: Solve for x
    x = 311,464.48/583.74
  6. Step 6: Final answer
    x = 533.57

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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.