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Finding the Fourth Proportional to 561.40, 775.67 and 435.87

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Solution

The fourth proportional to 561.40, 775.67 and 435.87 is: 602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.40 : 775.67 = 435.87 : x
  2. Step 2: Convert to fraction form
    561.40/775.67 = 435.87/x
  3. Step 3: Cross multiply
    561.40x = 775.67 × 435.87
  4. Step 4: Simplify right side
    561.40x = 338,089.10
  5. Step 5: Solve for x
    x = 338,089.10/561.40
  6. Step 6: Final answer
    x = 602.23

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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.