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Finding the Fourth Proportional to 459.34, 632.00 and 403.98

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Solution

The fourth proportional to 459.34, 632.00 and 403.98 is: 555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 632.00 = 403.98 : x
  2. Step 2: Convert to fraction form
    459.34/632.00 = 403.98/x
  3. Step 3: Cross multiply
    459.34x = 632.00 × 403.98
  4. Step 4: Simplify right side
    459.34x = 255,313.34
  5. Step 5: Solve for x
    x = 255,313.34/459.34
  6. Step 6: Final answer
    x = 555.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.