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Finding the Fourth Proportional to 522.53, 783.78 and 305.93

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Solution

The fourth proportional to 522.53, 783.78 and 305.93 is: 458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.53 : 783.78 = 305.93 : x
  2. Step 2: Convert to fraction form
    522.53/783.78 = 305.93/x
  3. Step 3: Cross multiply
    522.53x = 783.78 × 305.93
  4. Step 4: Simplify right side
    522.53x = 239,781.82
  5. Step 5: Solve for x
    x = 239,781.82/522.53
  6. Step 6: Final answer
    x = 458.89

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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.