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Finding the Fourth Proportional to 521.46, 783.05 and 464.94

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Solution

The fourth proportional to 521.46, 783.05 and 464.94 is: 698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.46 : 783.05 = 464.94 : x
  2. Step 2: Convert to fraction form
    521.46/783.05 = 464.94/x
  3. Step 3: Cross multiply
    521.46x = 783.05 × 464.94
  4. Step 4: Simplify right side
    521.46x = 364,068.94
  5. Step 5: Solve for x
    x = 364,068.94/521.46
  6. Step 6: Final answer
    x = 698.17

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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.