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Finding the Fourth Proportional to 434.16, 598.83 and 419.88

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Solution

The fourth proportional to 434.16, 598.83 and 419.88 is: 579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.16 : 598.83 = 419.88 : x
  2. Step 2: Convert to fraction form
    434.16/598.83 = 419.88/x
  3. Step 3: Cross multiply
    434.16x = 598.83 × 419.88
  4. Step 4: Simplify right side
    434.16x = 251,436.74
  5. Step 5: Solve for x
    x = 251,436.74/434.16
  6. Step 6: Final answer
    x = 579.13

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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.