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Finding the Fourth Proportional to 457.86, 630.58 and 434.40

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Solution

The fourth proportional to 457.86, 630.58 and 434.40 is: 598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 630.58 = 434.40 : x
  2. Step 2: Convert to fraction form
    457.86/630.58 = 434.40/x
  3. Step 3: Cross multiply
    457.86x = 630.58 × 434.40
  4. Step 4: Simplify right side
    457.86x = 273,923.95
  5. Step 5: Solve for x
    x = 273,923.95/457.86
  6. Step 6: Final answer
    x = 598.27

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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.