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Finding the Fourth Proportional to 710.59, 1,066.88 and 364.17

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Solution

The fourth proportional to 710.59, 1,066.88 and 364.17 is: 546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.59 : 1,066.88 = 364.17 : x
  2. Step 2: Convert to fraction form
    710.59/1,066.88 = 364.17/x
  3. Step 3: Cross multiply
    710.59x = 1,066.88 × 364.17
  4. Step 4: Simplify right side
    710.59x = 388,524.05
  5. Step 5: Solve for x
    x = 388,524.05/710.59
  6. Step 6: Final answer
    x = 546.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.