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Finding the Fourth Proportional to 479.56, 715.88 and 414.98

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Solution

The fourth proportional to 479.56, 715.88 and 414.98 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.56 : 715.88 = 414.98 : x
  2. Step 2: Convert to fraction form
    479.56/715.88 = 414.98/x
  3. Step 3: Cross multiply
    479.56x = 715.88 × 414.98
  4. Step 4: Simplify right side
    479.56x = 297,075.88
  5. Step 5: Solve for x
    x = 297,075.88/479.56
  6. Step 6: Final answer
    x = 619.48

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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.