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Finding the Fourth Proportional to 530.16, 731.07 and 419.46

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Solution

The fourth proportional to 530.16, 731.07 and 419.46 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.16 : 731.07 = 419.46 : x
  2. Step 2: Convert to fraction form
    530.16/731.07 = 419.46/x
  3. Step 3: Cross multiply
    530.16x = 731.07 × 419.46
  4. Step 4: Simplify right side
    530.16x = 306,654.62
  5. Step 5: Solve for x
    x = 306,654.62/530.16
  6. Step 6: Final answer
    x = 578.42

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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.