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Finding the Fourth Proportional to 418.23, 569.70 and 410.13

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Solution

The fourth proportional to 418.23, 569.70 and 410.13 is: 558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 569.70 = 410.13 : x
  2. Step 2: Convert to fraction form
    418.23/569.70 = 410.13/x
  3. Step 3: Cross multiply
    418.23x = 569.70 × 410.13
  4. Step 4: Simplify right side
    418.23x = 233,651.06
  5. Step 5: Solve for x
    x = 233,651.06/418.23
  6. Step 6: Final answer
    x = 558.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.