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Finding the Fourth Proportional to 403.35, 602.10 and 341.82

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Solution

The fourth proportional to 403.35, 602.10 and 341.82 is: 510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.35 : 602.10 = 341.82 : x
  2. Step 2: Convert to fraction form
    403.35/602.10 = 341.82/x
  3. Step 3: Cross multiply
    403.35x = 602.10 × 341.82
  4. Step 4: Simplify right side
    403.35x = 205,809.82
  5. Step 5: Solve for x
    x = 205,809.82/403.35
  6. Step 6: Final answer
    x = 510.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.