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Finding the Fourth Proportional to 561.86, 775.32 and 313.16

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Solution

The fourth proportional to 561.86, 775.32 and 313.16 is: 432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.86 : 775.32 = 313.16 : x
  2. Step 2: Convert to fraction form
    561.86/775.32 = 313.16/x
  3. Step 3: Cross multiply
    561.86x = 775.32 × 313.16
  4. Step 4: Simplify right side
    561.86x = 242,799.21
  5. Step 5: Solve for x
    x = 242,799.21/561.86
  6. Step 6: Final answer
    x = 432.13

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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.