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Finding the Fourth Proportional to 595.36, 891.60 and 464.08

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Solution

The fourth proportional to 595.36, 891.60 and 464.08 is: 695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 891.60 = 464.08 : x
  2. Step 2: Convert to fraction form
    595.36/891.60 = 464.08/x
  3. Step 3: Cross multiply
    595.36x = 891.60 × 464.08
  4. Step 4: Simplify right side
    595.36x = 413,773.73
  5. Step 5: Solve for x
    x = 413,773.73/595.36
  6. Step 6: Final answer
    x = 695.00

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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.