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Finding the Fourth Proportional to 583.33, 804.99 and 317.77

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Solution

The fourth proportional to 583.33, 804.99 and 317.77 is: 438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.33 : 804.99 = 317.77 : x
  2. Step 2: Convert to fraction form
    583.33/804.99 = 317.77/x
  3. Step 3: Cross multiply
    583.33x = 804.99 × 317.77
  4. Step 4: Simplify right side
    583.33x = 255,801.67
  5. Step 5: Solve for x
    x = 255,801.67/583.33
  6. Step 6: Final answer
    x = 438.52

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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.