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Finding the Fourth Proportional to 669.51, 923.76 and 407.52

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Solution

The fourth proportional to 669.51, 923.76 and 407.52 is: 562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.51 : 923.76 = 407.52 : x
  2. Step 2: Convert to fraction form
    669.51/923.76 = 407.52/x
  3. Step 3: Cross multiply
    669.51x = 923.76 × 407.52
  4. Step 4: Simplify right side
    669.51x = 376,450.68
  5. Step 5: Solve for x
    x = 376,450.68/669.51
  6. Step 6: Final answer
    x = 562.28

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1.5x scale

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.