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Finding the Fourth Proportional to 505.20, 697.54 and 358.26

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Solution

The fourth proportional to 505.20, 697.54 and 358.26 is: 494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.20 : 697.54 = 358.26 : x
  2. Step 2: Convert to fraction form
    505.20/697.54 = 358.26/x
  3. Step 3: Cross multiply
    505.20x = 697.54 × 358.26
  4. Step 4: Simplify right side
    505.20x = 249,900.68
  5. Step 5: Solve for x
    x = 249,900.68/505.20
  6. Step 6: Final answer
    x = 494.66

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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.