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Finding the Fourth Proportional to 583.35, 873.75 and 365.86

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Solution

The fourth proportional to 583.35, 873.75 and 365.86 is: 548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.35 : 873.75 = 365.86 : x
  2. Step 2: Convert to fraction form
    583.35/873.75 = 365.86/x
  3. Step 3: Cross multiply
    583.35x = 873.75 × 365.86
  4. Step 4: Simplify right side
    583.35x = 319,670.18
  5. Step 5: Solve for x
    x = 319,670.18/583.35
  6. Step 6: Final answer
    x = 548.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.