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Finding the Fourth Proportional to 474.94, 708.95 and 436.42

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Solution

The fourth proportional to 474.94, 708.95 and 436.42 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.94 : 708.95 = 436.42 : x
  2. Step 2: Convert to fraction form
    474.94/708.95 = 436.42/x
  3. Step 3: Cross multiply
    474.94x = 708.95 × 436.42
  4. Step 4: Simplify right side
    474.94x = 309,399.96
  5. Step 5: Solve for x
    x = 309,399.96/474.94
  6. Step 6: Final answer
    x = 651.45

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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.