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Finding the Fourth Proportional to 522.55, 783.90 and 303.28

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Solution

The fourth proportional to 522.55, 783.90 and 303.28 is: 454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.55 : 783.90 = 303.28 : x
  2. Step 2: Convert to fraction form
    522.55/783.90 = 303.28/x
  3. Step 3: Cross multiply
    522.55x = 783.90 × 303.28
  4. Step 4: Simplify right side
    522.55x = 237,742.83
  5. Step 5: Solve for x
    x = 237,742.83/522.55
  6. Step 6: Final answer
    x = 454.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.