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Finding the Fourth Proportional to 495.04, 741.64 and 414.24

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Solution

The fourth proportional to 495.04, 741.64 and 414.24 is: 620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.04 : 741.64 = 414.24 : x
  2. Step 2: Convert to fraction form
    495.04/741.64 = 414.24/x
  3. Step 3: Cross multiply
    495.04x = 741.64 × 414.24
  4. Step 4: Simplify right side
    495.04x = 307,216.95
  5. Step 5: Solve for x
    x = 307,216.95/495.04
  6. Step 6: Final answer
    x = 620.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.