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Finding the Fourth Proportional to 583.75, 805.23 and 373.87

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Solution

The fourth proportional to 583.75, 805.23 and 373.87 is: 515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.75 : 805.23 = 373.87 : x
  2. Step 2: Convert to fraction form
    583.75/805.23 = 373.87/x
  3. Step 3: Cross multiply
    583.75x = 805.23 × 373.87
  4. Step 4: Simplify right side
    583.75x = 301,051.34
  5. Step 5: Solve for x
    x = 301,051.34/583.75
  6. Step 6: Final answer
    x = 515.72

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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.