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Finding the Fourth Proportional to 669.42, 923.58 and 407.40

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Solution

The fourth proportional to 669.42, 923.58 and 407.40 is: 562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.42 : 923.58 = 407.40 : x
  2. Step 2: Convert to fraction form
    669.42/923.58 = 407.40/x
  3. Step 3: Cross multiply
    669.42x = 923.58 × 407.40
  4. Step 4: Simplify right side
    669.42x = 376,266.49
  5. Step 5: Solve for x
    x = 376,266.49/669.42
  6. Step 6: Final answer
    x = 562.08

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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.