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Finding the Fourth Proportional to 505.48, 697.67 and 418

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Solution

The fourth proportional to 505.48, 697.67 and 418 is: 576.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.48 : 697.67 = 418 : x
  2. Step 2: Convert to fraction form
    505.48/697.67 = 418/x
  3. Step 3: Cross multiply
    505.48x = 697.67 × 418
  4. Step 4: Simplify right side
    505.48x = 291,626.06
  5. Step 5: Solve for x
    x = 291,626.06/505.48
  6. Step 6: Final answer
    x = 576.93

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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.