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Finding the Fourth Proportional to 583.34, 804.40 and 524.58

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Solution

The fourth proportional to 583.34, 804.40 and 524.58 is: 723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 804.40 = 524.58 : x
  2. Step 2: Convert to fraction form
    583.34/804.40 = 524.58/x
  3. Step 3: Cross multiply
    583.34x = 804.40 × 524.58
  4. Step 4: Simplify right side
    583.34x = 421,972.15
  5. Step 5: Solve for x
    x = 421,972.15/583.34
  6. Step 6: Final answer
    x = 723.37

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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.