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Finding the Fourth Proportional to 457.86, 689.93 and 378.48

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Solution

The fourth proportional to 457.86, 689.93 and 378.48 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 689.93 = 378.48 : x
  2. Step 2: Convert to fraction form
    457.86/689.93 = 378.48/x
  3. Step 3: Cross multiply
    457.86x = 689.93 × 378.48
  4. Step 4: Simplify right side
    457.86x = 261,125.65
  5. Step 5: Solve for x
    x = 261,125.65/457.86
  6. Step 6: Final answer
    x = 570.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.