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Finding the Fourth Proportional to 595.40, 821.52 and 465.38

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Solution

The fourth proportional to 595.40, 821.52 and 465.38 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.40 : 821.52 = 465.38 : x
  2. Step 2: Convert to fraction form
    595.40/821.52 = 465.38/x
  3. Step 3: Cross multiply
    595.40x = 821.52 × 465.38
  4. Step 4: Simplify right side
    595.40x = 382,318.98
  5. Step 5: Solve for x
    x = 382,318.98/595.40
  6. Step 6: Final answer
    x = 642.12

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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.