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Finding the Fourth Proportional to 669.79, 924.06 and 417.60

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Solution

The fourth proportional to 669.79, 924.06 and 417.60 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.79 : 924.06 = 417.60 : x
  2. Step 2: Convert to fraction form
    669.79/924.06 = 417.60/x
  3. Step 3: Cross multiply
    669.79x = 924.06 × 417.60
  4. Step 4: Simplify right side
    669.79x = 385,887.46
  5. Step 5: Solve for x
    x = 385,887.46/669.79
  6. Step 6: Final answer
    x = 576.13

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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.