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Finding the Fourth Proportional to 669.59, 924.25 and 389.77

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Solution

The fourth proportional to 669.59, 924.25 and 389.77 is: 538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 924.25 = 389.77 : x
  2. Step 2: Convert to fraction form
    669.59/924.25 = 389.77/x
  3. Step 3: Cross multiply
    669.59x = 924.25 × 389.77
  4. Step 4: Simplify right side
    669.59x = 360,242.79
  5. Step 5: Solve for x
    x = 360,242.79/669.59
  6. Step 6: Final answer
    x = 538.01

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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.