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Finding the Fourth Proportional to 477.80, 659.37 and 278.67

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Solution

The fourth proportional to 477.80, 659.37 and 278.67 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.80 : 659.37 = 278.67 : x
  2. Step 2: Convert to fraction form
    477.80/659.37 = 278.67/x
  3. Step 3: Cross multiply
    477.80x = 659.37 × 278.67
  4. Step 4: Simplify right side
    477.80x = 183,746.64
  5. Step 5: Solve for x
    x = 183,746.64/477.80
  6. Step 6: Final answer
    x = 384.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.