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Finding the Fourth Proportional to 415.02, 569.40 and 404.68

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Solution

The fourth proportional to 415.02, 569.40 and 404.68 is: 555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 569.40 = 404.68 : x
  2. Step 2: Convert to fraction form
    415.02/569.40 = 404.68/x
  3. Step 3: Cross multiply
    415.02x = 569.40 × 404.68
  4. Step 4: Simplify right side
    415.02x = 230,424.79
  5. Step 5: Solve for x
    x = 230,424.79/415.02
  6. Step 6: Final answer
    x = 555.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.