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Finding the Fourth Proportional to 655.76, 904.94 and 390.20

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Solution

The fourth proportional to 655.76, 904.94 and 390.20 is: 538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.76 : 904.94 = 390.20 : x
  2. Step 2: Convert to fraction form
    655.76/904.94 = 390.20/x
  3. Step 3: Cross multiply
    655.76x = 904.94 × 390.20
  4. Step 4: Simplify right side
    655.76x = 353,102.58
  5. Step 5: Solve for x
    x = 353,102.58/655.76
  6. Step 6: Final answer
    x = 538.46

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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.