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Finding the Fourth Proportional to 495.42, 737.82 and 465.42

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Solution

The fourth proportional to 495.42, 737.82 and 465.42 is: 693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.42 : 737.82 = 465.42 : x
  2. Step 2: Convert to fraction form
    495.42/737.82 = 465.42/x
  3. Step 3: Cross multiply
    495.42x = 737.82 × 465.42
  4. Step 4: Simplify right side
    495.42x = 343,396.18
  5. Step 5: Solve for x
    x = 343,396.18/495.42
  6. Step 6: Final answer
    x = 693.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.