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Finding the Fourth Proportional to 595.06, 821.14 and 346.38

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Solution

The fourth proportional to 595.06, 821.14 and 346.38 is: 477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.06 : 821.14 = 346.38 : x
  2. Step 2: Convert to fraction form
    595.06/821.14 = 346.38/x
  3. Step 3: Cross multiply
    595.06x = 821.14 × 346.38
  4. Step 4: Simplify right side
    595.06x = 284,426.47
  5. Step 5: Solve for x
    x = 284,426.47/595.06
  6. Step 6: Final answer
    x = 477.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.