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Finding the Fourth Proportional to 666.58, 1,001.64 and 358.66

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Solution

The fourth proportional to 666.58, 1,001.64 and 358.66 is: 538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.58 : 1,001.64 = 358.66 : x
  2. Step 2: Convert to fraction form
    666.58/1,001.64 = 358.66/x
  3. Step 3: Cross multiply
    666.58x = 1,001.64 × 358.66
  4. Step 4: Simplify right side
    666.58x = 359,248.20
  5. Step 5: Solve for x
    x = 359,248.20/666.58
  6. Step 6: Final answer
    x = 538.94

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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.