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Finding the Fourth Proportional to 455.51, 628.62 and 357.10

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Solution

The fourth proportional to 455.51, 628.62 and 357.10 is: 492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.51 : 628.62 = 357.10 : x
  2. Step 2: Convert to fraction form
    455.51/628.62 = 357.10/x
  3. Step 3: Cross multiply
    455.51x = 628.62 × 357.10
  4. Step 4: Simplify right side
    455.51x = 224,480.20
  5. Step 5: Solve for x
    x = 224,480.20/455.51
  6. Step 6: Final answer
    x = 492.81

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