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Finding the Fourth Proportional to 565.74, 852.01 and 498.02

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Solution

The fourth proportional to 565.74, 852.01 and 498.02 is: 750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 852.01 = 498.02 : x
  2. Step 2: Convert to fraction form
    565.74/852.01 = 498.02/x
  3. Step 3: Cross multiply
    565.74x = 852.01 × 498.02
  4. Step 4: Simplify right side
    565.74x = 424,312.52
  5. Step 5: Solve for x
    x = 424,312.52/565.74
  6. Step 6: Final answer
    x = 750.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.