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Finding the Fourth Proportional to 661.29, 910.50 and 503.42

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Solution

The fourth proportional to 661.29, 910.50 and 503.42 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.29 : 910.50 = 503.42 : x
  2. Step 2: Convert to fraction form
    661.29/910.50 = 503.42/x
  3. Step 3: Cross multiply
    661.29x = 910.50 × 503.42
  4. Step 4: Simplify right side
    661.29x = 458,362.77
  5. Step 5: Solve for x
    x = 458,362.77/661.29
  6. Step 6: Final answer
    x = 693.13

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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.