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Finding the Fourth Proportional to 561.10, 841.65 and 287.04

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Solution

The fourth proportional to 561.10, 841.65 and 287.04 is: 430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 841.65 = 287.04 : x
  2. Step 2: Convert to fraction form
    561.10/841.65 = 287.04/x
  3. Step 3: Cross multiply
    561.10x = 841.65 × 287.04
  4. Step 4: Simplify right side
    561.10x = 241,591.31
  5. Step 5: Solve for x
    x = 241,591.31/561.10
  6. Step 6: Final answer
    x = 430.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.