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Finding the Fourth Proportional to 561.24, 841.86 and 465.72

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Solution

The fourth proportional to 561.24, 841.86 and 465.72 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.24 : 841.86 = 465.72 : x
  2. Step 2: Convert to fraction form
    561.24/841.86 = 465.72/x
  3. Step 3: Cross multiply
    561.24x = 841.86 × 465.72
  4. Step 4: Simplify right side
    561.24x = 392,071.04
  5. Step 5: Solve for x
    x = 392,071.04/561.24
  6. Step 6: Final answer
    x = 698.58

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Why These Related Problems?

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