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Finding the Fourth Proportional to 669.33, 924.71 and 512.60

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Solution

The fourth proportional to 669.33, 924.71 and 512.60 is: 708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.33 : 924.71 = 512.60 : x
  2. Step 2: Convert to fraction form
    669.33/924.71 = 512.60/x
  3. Step 3: Cross multiply
    669.33x = 924.71 × 512.60
  4. Step 4: Simplify right side
    669.33x = 473,999.16
  5. Step 5: Solve for x
    x = 473,999.16/669.33
  6. Step 6: Final answer
    x = 708.17

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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.