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Finding the Fourth Proportional to 474.50, 707.22 and 465.38

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Solution

The fourth proportional to 474.50, 707.22 and 465.38 is: 693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 707.22 = 465.38 : x
  2. Step 2: Convert to fraction form
    474.50/707.22 = 465.38/x
  3. Step 3: Cross multiply
    474.50x = 707.22 × 465.38
  4. Step 4: Simplify right side
    474.50x = 329,127.81
  5. Step 5: Solve for x
    x = 329,127.81/474.50
  6. Step 6: Final answer
    x = 693.64

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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.