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Finding the Fourth Proportional to 478.35, 659.64 and 360.60

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Solution

The fourth proportional to 478.35, 659.64 and 360.60 is: 497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.35 : 659.64 = 360.60 : x
  2. Step 2: Convert to fraction form
    478.35/659.64 = 360.60/x
  3. Step 3: Cross multiply
    478.35x = 659.64 × 360.60
  4. Step 4: Simplify right side
    478.35x = 237,866.18
  5. Step 5: Solve for x
    x = 237,866.18/478.35
  6. Step 6: Final answer
    x = 497.26

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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.