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Finding the Fourth Proportional to 551.34, 760.86 and 433.47

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Solution

The fourth proportional to 551.34, 760.86 and 433.47 is: 598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.34 : 760.86 = 433.47 : x
  2. Step 2: Convert to fraction form
    551.34/760.86 = 433.47/x
  3. Step 3: Cross multiply
    551.34x = 760.86 × 433.47
  4. Step 4: Simplify right side
    551.34x = 329,809.98
  5. Step 5: Solve for x
    x = 329,809.98/551.34
  6. Step 6: Final answer
    x = 598.20

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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.