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Finding the Fourth Proportional to 561.63, 774.83 and 365.07

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Solution

The fourth proportional to 561.63, 774.83 and 365.07 is: 503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.63 : 774.83 = 365.07 : x
  2. Step 2: Convert to fraction form
    561.63/774.83 = 365.07/x
  3. Step 3: Cross multiply
    561.63x = 774.83 × 365.07
  4. Step 4: Simplify right side
    561.63x = 282,865.36
  5. Step 5: Solve for x
    x = 282,865.36/561.63
  6. Step 6: Final answer
    x = 503.65

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1.5x scale

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.