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Finding the Fourth Proportional to 357.65, 492.86 and 332.55

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Solution

The fourth proportional to 357.65, 492.86 and 332.55 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 492.86 = 332.55 : x
  2. Step 2: Convert to fraction form
    357.65/492.86 = 332.55/x
  3. Step 3: Cross multiply
    357.65x = 492.86 × 332.55
  4. Step 4: Simplify right side
    357.65x = 163,898.93
  5. Step 5: Solve for x
    x = 163,898.93/357.65
  6. Step 6: Final answer
    x = 458.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.