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Finding the Fourth Proportional to 690.07, 952.41 and 468.88

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Solution

The fourth proportional to 690.07, 952.41 and 468.88 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.07 : 952.41 = 468.88 : x
  2. Step 2: Convert to fraction form
    690.07/952.41 = 468.88/x
  3. Step 3: Cross multiply
    690.07x = 952.41 × 468.88
  4. Step 4: Simplify right side
    690.07x = 446,566.00
  5. Step 5: Solve for x
    x = 446,566.00/690.07
  6. Step 6: Final answer
    x = 647.13

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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.