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Finding the Fourth Proportional to 595.59, 893.40 and 460.29

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Solution

The fourth proportional to 595.59, 893.40 and 460.29 is: 690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 893.40 = 460.29 : x
  2. Step 2: Convert to fraction form
    595.59/893.40 = 460.29/x
  3. Step 3: Cross multiply
    595.59x = 893.40 × 460.29
  4. Step 4: Simplify right side
    595.59x = 411,223.09
  5. Step 5: Solve for x
    x = 411,223.09/595.59
  6. Step 6: Final answer
    x = 690.45

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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.