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Finding the Fourth Proportional to 561.03, 774.14 and 312.35

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Solution

The fourth proportional to 561.03, 774.14 and 312.35 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.03 : 774.14 = 312.35 : x
  2. Step 2: Convert to fraction form
    561.03/774.14 = 312.35/x
  3. Step 3: Cross multiply
    561.03x = 774.14 × 312.35
  4. Step 4: Simplify right side
    561.03x = 241,801.07
  5. Step 5: Solve for x
    x = 241,801.07/561.03
  6. Step 6: Final answer
    x = 431.00

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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.