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Finding the Fourth Proportional to 407.35, 562.53 and 260.34

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Solution

The fourth proportional to 407.35, 562.53 and 260.34 is: 359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.35 : 562.53 = 260.34 : x
  2. Step 2: Convert to fraction form
    407.35/562.53 = 260.34/x
  3. Step 3: Cross multiply
    407.35x = 562.53 × 260.34
  4. Step 4: Simplify right side
    407.35x = 146,449.06
  5. Step 5: Solve for x
    x = 146,449.06/407.35
  6. Step 6: Final answer
    x = 359.52

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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.