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Finding the Fourth Proportional to 655.14, 904.06 and 360.40

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Solution

The fourth proportional to 655.14, 904.06 and 360.40 is: 497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 904.06 = 360.40 : x
  2. Step 2: Convert to fraction form
    655.14/904.06 = 360.40/x
  3. Step 3: Cross multiply
    655.14x = 904.06 × 360.40
  4. Step 4: Simplify right side
    655.14x = 325,823.22
  5. Step 5: Solve for x
    x = 325,823.22/655.14
  6. Step 6: Final answer
    x = 497.33

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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.