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Finding the Fourth Proportional to 456.16, 628.75 and 416.95

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Solution

The fourth proportional to 456.16, 628.75 and 416.95 is: 574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 628.75 = 416.95 : x
  2. Step 2: Convert to fraction form
    456.16/628.75 = 416.95/x
  3. Step 3: Cross multiply
    456.16x = 628.75 × 416.95
  4. Step 4: Simplify right side
    456.16x = 262,157.31
  5. Step 5: Solve for x
    x = 262,157.31/456.16
  6. Step 6: Final answer
    x = 574.70

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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.