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Finding the Fourth Proportional to 508.07, 699.54 and 459.47

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Solution

The fourth proportional to 508.07, 699.54 and 459.47 is: 632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.07 : 699.54 = 459.47 : x
  2. Step 2: Convert to fraction form
    508.07/699.54 = 459.47/x
  3. Step 3: Cross multiply
    508.07x = 699.54 × 459.47
  4. Step 4: Simplify right side
    508.07x = 321,417.67
  5. Step 5: Solve for x
    x = 321,417.67/508.07
  6. Step 6: Final answer
    x = 632.62

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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.