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Finding the Fourth Proportional to 384.78, 577.56 and 313.50

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Solution

The fourth proportional to 384.78, 577.56 and 313.50 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 577.56 = 313.50 : x
  2. Step 2: Convert to fraction form
    384.78/577.56 = 313.50/x
  3. Step 3: Cross multiply
    384.78x = 577.56 × 313.50
  4. Step 4: Simplify right side
    384.78x = 181,065.06
  5. Step 5: Solve for x
    x = 181,065.06/384.78
  6. Step 6: Final answer
    x = 470.57

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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.