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Finding the Fourth Proportional to 690.15, 951.63 and 469.23

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Solution

The fourth proportional to 690.15, 951.63 and 469.23 is: 647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.15 : 951.63 = 469.23 : x
  2. Step 2: Convert to fraction form
    690.15/951.63 = 469.23/x
  3. Step 3: Cross multiply
    690.15x = 951.63 × 469.23
  4. Step 4: Simplify right side
    690.15x = 446,533.34
  5. Step 5: Solve for x
    x = 446,533.34/690.15
  6. Step 6: Final answer
    x = 647.01

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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.