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Finding the Fourth Proportional to 442.80, 659.88 and 434.16

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Solution

The fourth proportional to 442.80, 659.88 and 434.16 is: 647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 659.88 = 434.16 : x
  2. Step 2: Convert to fraction form
    442.80/659.88 = 434.16/x
  3. Step 3: Cross multiply
    442.80x = 659.88 × 434.16
  4. Step 4: Simplify right side
    442.80x = 286,493.50
  5. Step 5: Solve for x
    x = 286,493.50/442.80
  6. Step 6: Final answer
    x = 647.00

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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.