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Finding the Fourth Proportional to 595.47, 895.29 and 322.11

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Solution

The fourth proportional to 595.47, 895.29 and 322.11 is: 484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.47 : 895.29 = 322.11 : x
  2. Step 2: Convert to fraction form
    595.47/895.29 = 322.11/x
  3. Step 3: Cross multiply
    595.47x = 895.29 × 322.11
  4. Step 4: Simplify right side
    595.47x = 288,381.86
  5. Step 5: Solve for x
    x = 288,381.86/595.47
  6. Step 6: Final answer
    x = 484.29

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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.