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Finding the Fourth Proportional to 690.93, 953.25 and 469.50

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Solution

The fourth proportional to 690.93, 953.25 and 469.50 is: 647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 953.25 = 469.50 : x
  2. Step 2: Convert to fraction form
    690.93/953.25 = 469.50/x
  3. Step 3: Cross multiply
    690.93x = 953.25 × 469.50
  4. Step 4: Simplify right side
    690.93x = 447,550.88
  5. Step 5: Solve for x
    x = 447,550.88/690.93
  6. Step 6: Final answer
    x = 647.75

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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.