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Finding the Fourth Proportional to 404.04, 557.00 and 316.56

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Solution

The fourth proportional to 404.04, 557.00 and 316.56 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.04 : 557.00 = 316.56 : x
  2. Step 2: Convert to fraction form
    404.04/557.00 = 316.56/x
  3. Step 3: Cross multiply
    404.04x = 557.00 × 316.56
  4. Step 4: Simplify right side
    404.04x = 176,322.48
  5. Step 5: Solve for x
    x = 176,322.48/404.04
  6. Step 6: Final answer
    x = 436.40

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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.