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Finding the Fourth Proportional to 416.99, 575.48 and 242.34

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Solution

The fourth proportional to 416.99, 575.48 and 242.34 is: 334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.99 : 575.48 = 242.34 : x
  2. Step 2: Convert to fraction form
    416.99/575.48 = 242.34/x
  3. Step 3: Cross multiply
    416.99x = 575.48 × 242.34
  4. Step 4: Simplify right side
    416.99x = 139,461.82
  5. Step 5: Solve for x
    x = 139,461.82/416.99
  6. Step 6: Final answer
    x = 334.45

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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.