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Finding the Fourth Proportional to 498.04, 746.58 and 315.64

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Solution

The fourth proportional to 498.04, 746.58 and 315.64 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.04 : 746.58 = 315.64 : x
  2. Step 2: Convert to fraction form
    498.04/746.58 = 315.64/x
  3. Step 3: Cross multiply
    498.04x = 746.58 × 315.64
  4. Step 4: Simplify right side
    498.04x = 235,650.51
  5. Step 5: Solve for x
    x = 235,650.51/498.04
  6. Step 6: Final answer
    x = 473.16

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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.