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Finding the Fourth Proportional to 332.51, 498.35 and 278.24

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Solution

The fourth proportional to 332.51, 498.35 and 278.24 is: 417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.51 : 498.35 = 278.24 : x
  2. Step 2: Convert to fraction form
    332.51/498.35 = 278.24/x
  3. Step 3: Cross multiply
    332.51x = 498.35 × 278.24
  4. Step 4: Simplify right side
    332.51x = 138,659.11
  5. Step 5: Solve for x
    x = 138,659.11/332.51
  6. Step 6: Final answer
    x = 417.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.