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Finding the Fourth Proportional to 561.74, 775.10 and 313.00

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Solution

The fourth proportional to 561.74, 775.10 and 313.00 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 775.10 = 313.00 : x
  2. Step 2: Convert to fraction form
    561.74/775.10 = 313.00/x
  3. Step 3: Cross multiply
    561.74x = 775.10 × 313.00
  4. Step 4: Simplify right side
    561.74x = 242,605.14
  5. Step 5: Solve for x
    x = 242,605.14/561.74
  6. Step 6: Final answer
    x = 431.89

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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.