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Finding the Fourth Proportional to 666.03, 916.05 and 534.75

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Solution

The fourth proportional to 666.03, 916.05 and 534.75 is: 735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.03 : 916.05 = 534.75 : x
  2. Step 2: Convert to fraction form
    666.03/916.05 = 534.75/x
  3. Step 3: Cross multiply
    666.03x = 916.05 × 534.75
  4. Step 4: Simplify right side
    666.03x = 489,857.74
  5. Step 5: Solve for x
    x = 489,857.74/666.03
  6. Step 6: Final answer
    x = 735.49

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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.