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Finding the Fourth Proportional to 583.64, 873.33 and 351.68

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Solution

The fourth proportional to 583.64, 873.33 and 351.68 is: 526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 873.33 = 351.68 : x
  2. Step 2: Convert to fraction form
    583.64/873.33 = 351.68/x
  3. Step 3: Cross multiply
    583.64x = 873.33 × 351.68
  4. Step 4: Simplify right side
    583.64x = 307,132.69
  5. Step 5: Solve for x
    x = 307,132.69/583.64
  6. Step 6: Final answer
    x = 526.24

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