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Finding the Fourth Proportional to 478.51, 659.50 and 411.95

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Solution

The fourth proportional to 478.51, 659.50 and 411.95 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.51 : 659.50 = 411.95 : x
  2. Step 2: Convert to fraction form
    478.51/659.50 = 411.95/x
  3. Step 3: Cross multiply
    478.51x = 659.50 × 411.95
  4. Step 4: Simplify right side
    478.51x = 271,681.03
  5. Step 5: Solve for x
    x = 271,681.03/478.51
  6. Step 6: Final answer
    x = 567.76

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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.