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Finding the Fourth Proportional to 541.65, 812.01 and 459.93

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Solution

The fourth proportional to 541.65, 812.01 and 459.93 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.65 : 812.01 = 459.93 : x
  2. Step 2: Convert to fraction form
    541.65/812.01 = 459.93/x
  3. Step 3: Cross multiply
    541.65x = 812.01 × 459.93
  4. Step 4: Simplify right side
    541.65x = 373,467.76
  5. Step 5: Solve for x
    x = 373,467.76/541.65
  6. Step 6: Final answer
    x = 689.50

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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.