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Finding the Fourth Proportional to 707.59, 976.58 and 427.86

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Solution

The fourth proportional to 707.59, 976.58 and 427.86 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 976.58 = 427.86 : x
  2. Step 2: Convert to fraction form
    707.59/976.58 = 427.86/x
  3. Step 3: Cross multiply
    707.59x = 976.58 × 427.86
  4. Step 4: Simplify right side
    707.59x = 417,839.52
  5. Step 5: Solve for x
    x = 417,839.52/707.59
  6. Step 6: Final answer
    x = 590.51

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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.