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Finding the Fourth Proportional to 455.58, 628.28 and 357.16

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Solution

The fourth proportional to 455.58, 628.28 and 357.16 is: 492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.58 : 628.28 = 357.16 : x
  2. Step 2: Convert to fraction form
    455.58/628.28 = 357.16/x
  3. Step 3: Cross multiply
    455.58x = 628.28 × 357.16
  4. Step 4: Simplify right side
    455.58x = 224,396.48
  5. Step 5: Solve for x
    x = 224,396.48/455.58
  6. Step 6: Final answer
    x = 492.55

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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.