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Finding the Fourth Proportional to 582.83, 805.02 and 436.12

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Solution

The fourth proportional to 582.83, 805.02 and 436.12 is: 602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 805.02 = 436.12 : x
  2. Step 2: Convert to fraction form
    582.83/805.02 = 436.12/x
  3. Step 3: Cross multiply
    582.83x = 805.02 × 436.12
  4. Step 4: Simplify right side
    582.83x = 351,085.32
  5. Step 5: Solve for x
    x = 351,085.32/582.83
  6. Step 6: Final answer
    x = 602.38

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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.