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Finding the Fourth Proportional to 357.10, 492.66 and 264.07

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Solution

The fourth proportional to 357.10, 492.66 and 264.07 is: 364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.10 : 492.66 = 264.07 : x
  2. Step 2: Convert to fraction form
    357.10/492.66 = 264.07/x
  3. Step 3: Cross multiply
    357.10x = 492.66 × 264.07
  4. Step 4: Simplify right side
    357.10x = 130,094.26
  5. Step 5: Solve for x
    x = 130,094.26/357.10
  6. Step 6: Final answer
    x = 364.31

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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.