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Finding the Fourth Proportional to 656.10, 905.07 and 419.98

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Solution

The fourth proportional to 656.10, 905.07 and 419.98 is: 579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 905.07 = 419.98 : x
  2. Step 2: Convert to fraction form
    656.10/905.07 = 419.98/x
  3. Step 3: Cross multiply
    656.10x = 905.07 × 419.98
  4. Step 4: Simplify right side
    656.10x = 380,111.30
  5. Step 5: Solve for x
    x = 380,111.30/656.10
  6. Step 6: Final answer
    x = 579.35

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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.