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Finding the Fourth Proportional to 554.95, 832.42 and 410.77

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Solution

The fourth proportional to 554.95, 832.42 and 410.77 is: 616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.95 : 832.42 = 410.77 : x
  2. Step 2: Convert to fraction form
    554.95/832.42 = 410.77/x
  3. Step 3: Cross multiply
    554.95x = 832.42 × 410.77
  4. Step 4: Simplify right side
    554.95x = 341,929.00
  5. Step 5: Solve for x
    x = 341,929.00/554.95
  6. Step 6: Final answer
    x = 616.15

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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.