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Finding the Fourth Proportional to 521.10, 719.20 and 466.14

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Solution

The fourth proportional to 521.10, 719.20 and 466.14 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.10 : 719.20 = 466.14 : x
  2. Step 2: Convert to fraction form
    521.10/719.20 = 466.14/x
  3. Step 3: Cross multiply
    521.10x = 719.20 × 466.14
  4. Step 4: Simplify right side
    521.10x = 335,247.89
  5. Step 5: Solve for x
    x = 335,247.89/521.10
  6. Step 6: Final answer
    x = 643.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.