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Finding the Fourth Proportional to 669.64, 924.04 and 404.12

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Solution

The fourth proportional to 669.64, 924.04 and 404.12 is: 557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 924.04 = 404.12 : x
  2. Step 2: Convert to fraction form
    669.64/924.04 = 404.12/x
  3. Step 3: Cross multiply
    669.64x = 924.04 × 404.12
  4. Step 4: Simplify right side
    669.64x = 373,423.04
  5. Step 5: Solve for x
    x = 373,423.04/669.64
  6. Step 6: Final answer
    x = 557.65

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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.