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Finding the Fourth Proportional to 522.00, 782.59 and 305.32

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Solution

The fourth proportional to 522.00, 782.59 and 305.32 is: 457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.00 : 782.59 = 305.32 : x
  2. Step 2: Convert to fraction form
    522.00/782.59 = 305.32/x
  3. Step 3: Cross multiply
    522.00x = 782.59 × 305.32
  4. Step 4: Simplify right side
    522.00x = 238,939.62
  5. Step 5: Solve for x
    x = 238,939.62/522.00
  6. Step 6: Final answer
    x = 457.74

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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.