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Finding the Fourth Proportional to 505.98, 697.68 and 358.29

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Solution

The fourth proportional to 505.98, 697.68 and 358.29 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 697.68 = 358.29 : x
  2. Step 2: Convert to fraction form
    505.98/697.68 = 358.29/x
  3. Step 3: Cross multiply
    505.98x = 697.68 × 358.29
  4. Step 4: Simplify right side
    505.98x = 249,971.77
  5. Step 5: Solve for x
    x = 249,971.77/505.98
  6. Step 6: Final answer
    x = 494.03

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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.