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Finding the Fourth Proportional to 669.19, 923.58 and 407.16

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Solution

The fourth proportional to 669.19, 923.58 and 407.16 is: 561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.19 : 923.58 = 407.16 : x
  2. Step 2: Convert to fraction form
    669.19/923.58 = 407.16/x
  3. Step 3: Cross multiply
    669.19x = 923.58 × 407.16
  4. Step 4: Simplify right side
    669.19x = 376,044.83
  5. Step 5: Solve for x
    x = 376,044.83/669.19
  6. Step 6: Final answer
    x = 561.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.