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Finding the Fourth Proportional to 521.64, 783.12 and 338.40

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Solution

The fourth proportional to 521.64, 783.12 and 338.40 is: 508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 783.12 = 338.40 : x
  2. Step 2: Convert to fraction form
    521.64/783.12 = 338.40/x
  3. Step 3: Cross multiply
    521.64x = 783.12 × 338.40
  4. Step 4: Simplify right side
    521.64x = 265,007.81
  5. Step 5: Solve for x
    x = 265,007.81/521.64
  6. Step 6: Final answer
    x = 508.03

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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.