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Finding the Fourth Proportional to 353.66, 526.57 and 352.58

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Solution

The fourth proportional to 353.66, 526.57 and 352.58 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.66 : 526.57 = 352.58 : x
  2. Step 2: Convert to fraction form
    353.66/526.57 = 352.58/x
  3. Step 3: Cross multiply
    353.66x = 526.57 × 352.58
  4. Step 4: Simplify right side
    353.66x = 185,658.05
  5. Step 5: Solve for x
    x = 185,658.05/353.66
  6. Step 6: Final answer
    x = 524.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.