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Finding the Fourth Proportional to 407.99, 608.10 and 384.93

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Solution

The fourth proportional to 407.99, 608.10 and 384.93 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.99 : 608.10 = 384.93 : x
  2. Step 2: Convert to fraction form
    407.99/608.10 = 384.93/x
  3. Step 3: Cross multiply
    407.99x = 608.10 × 384.93
  4. Step 4: Simplify right side
    407.99x = 234,075.93
  5. Step 5: Solve for x
    x = 234,075.93/407.99
  6. Step 6: Final answer
    x = 573.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.