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Finding the Fourth Proportional to 543.67, 750.58 and 419.09

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Solution

The fourth proportional to 543.67, 750.58 and 419.09 is: 578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.67 : 750.58 = 419.09 : x
  2. Step 2: Convert to fraction form
    543.67/750.58 = 419.09/x
  3. Step 3: Cross multiply
    543.67x = 750.58 × 419.09
  4. Step 4: Simplify right side
    543.67x = 314,555.77
  5. Step 5: Solve for x
    x = 314,555.77/543.67
  6. Step 6: Final answer
    x = 578.58

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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.