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Finding the Fourth Proportional to 655.86, 904.97 and 390.20

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Solution

The fourth proportional to 655.86, 904.97 and 390.20 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.86 : 904.97 = 390.20 : x
  2. Step 2: Convert to fraction form
    655.86/904.97 = 390.20/x
  3. Step 3: Cross multiply
    655.86x = 904.97 × 390.20
  4. Step 4: Simplify right side
    655.86x = 353,115.74
  5. Step 5: Solve for x
    x = 353,115.74/655.86
  6. Step 6: Final answer
    x = 538.40

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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.