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Finding the Fourth Proportional to 619.04, 854.35 and 432.74

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Solution

The fourth proportional to 619.04, 854.35 and 432.74 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.04 : 854.35 = 432.74 : x
  2. Step 2: Convert to fraction form
    619.04/854.35 = 432.74/x
  3. Step 3: Cross multiply
    619.04x = 854.35 × 432.74
  4. Step 4: Simplify right side
    619.04x = 369,712.47
  5. Step 5: Solve for x
    x = 369,712.47/619.04
  6. Step 6: Final answer
    x = 597.23

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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.