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Finding the Fourth Proportional to 469.17, 647.73 and 364.50

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Solution

The fourth proportional to 469.17, 647.73 and 364.50 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.17 : 647.73 = 364.50 : x
  2. Step 2: Convert to fraction form
    469.17/647.73 = 364.50/x
  3. Step 3: Cross multiply
    469.17x = 647.73 × 364.50
  4. Step 4: Simplify right side
    469.17x = 236,097.59
  5. Step 5: Solve for x
    x = 236,097.59/469.17
  6. Step 6: Final answer
    x = 503.22

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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.