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Finding the Fourth Proportional to 710.58, 1,066.09 and 364.16

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Solution

The fourth proportional to 710.58, 1,066.09 and 364.16 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.58 : 1,066.09 = 364.16 : x
  2. Step 2: Convert to fraction form
    710.58/1,066.09 = 364.16/x
  3. Step 3: Cross multiply
    710.58x = 1,066.09 × 364.16
  4. Step 4: Simplify right side
    710.58x = 388,222.41
  5. Step 5: Solve for x
    x = 388,222.41/710.58
  6. Step 6: Final answer
    x = 546.35

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