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Finding the Fourth Proportional to 478.21, 659.17 and 360.01

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Solution

The fourth proportional to 478.21, 659.17 and 360.01 is: 496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.21 : 659.17 = 360.01 : x
  2. Step 2: Convert to fraction form
    478.21/659.17 = 360.01/x
  3. Step 3: Cross multiply
    478.21x = 659.17 × 360.01
  4. Step 4: Simplify right side
    478.21x = 237,307.79
  5. Step 5: Solve for x
    x = 237,307.79/478.21
  6. Step 6: Final answer
    x = 496.24

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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.