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Finding the Fourth Proportional to 384.78, 577.58 and 277.06

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Solution

The fourth proportional to 384.78, 577.58 and 277.06 is: 415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.58 = 277.06 : x
  2. Step 2: Convert to fraction form
    384.78/577.58 = 277.06/x
  3. Step 3: Cross multiply
    384.78x = 577.58 × 277.06
  4. Step 4: Simplify right side
    384.78x = 160,024.31
  5. Step 5: Solve for x
    x = 160,024.31/384.78
  6. Step 6: Final answer
    x = 415.89

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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.