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Finding the Fourth Proportional to 522.24, 782.40 and 464.64

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Solution

The fourth proportional to 522.24, 782.40 and 464.64 is: 696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 782.40 = 464.64 : x
  2. Step 2: Convert to fraction form
    522.24/782.40 = 464.64/x
  3. Step 3: Cross multiply
    522.24x = 782.40 × 464.64
  4. Step 4: Simplify right side
    522.24x = 363,534.34
  5. Step 5: Solve for x
    x = 363,534.34/522.24
  6. Step 6: Final answer
    x = 696.11

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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.